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52477425 = 325271113233
BaseRepresentation
bin1100100000101…
…1110111110001
310122202010111100
43020023313301
5101413234200
65112435013
71205023260
oct310136761
9118663440
1052477425
1127693080
12156a8a69
13ab44c40
146d805d7
154918d00
hex320bdf1

52477425 has 144 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 20044800.

The previous prime is 52477363. The next prime is 52477429.

It is a happy number.

52477425 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 52477425 - 29 = 52476913 is a prime.

Its product of digits (78400) is a multiple of the sum of its prime factors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 52477425.

It is not an unprimeable number, because it can be changed into a prime (52477429) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 225109 + ... + 225341.

It is an arithmetic number, because the mean of its divisors is an integer number (880152).

Almost surely, 252477425 is an apocalyptic number.

52477425 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

52477425 is an abundant number, since it is smaller than the sum of its proper divisors (74264463).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52477425 is a wasteful number, since it uses less digits than its factorization.

52477425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 52477425 is about 7244.1303825925. The cubic root of 52477425 is about 374.3899414142.

The spelling of 52477425 in words is "fifty-two million, four hundred seventy-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 11 13 15 21 25 33 35 39 45 55 63 65 75 77 91 99 105 117 143 165 175 195 225 231 233 273 275 315 325 385 429 455 495 525 585 693 699 715 819 825 975 1001 1155 1165 1287 1365 1575 1631 1925 2097 2145 2275 2475 2563 2925 3003 3029 3465 3495 3575 4095 4893 5005 5775 5825 6435 6825 7689 8155 9009 9087 10485 10725 12815 14679 15015 15145 17325 17475 17941 20475 21203 23067 24465 25025 27261 32175 33319 38445 40775 45045 45435 52425 53823 63609 64075 73395 75075 75725 89705 99957 106015 115335 122325 136305 161469 166595 190827 192225 225225 227175 233233 269115 299871 318045 366975 448525 499785 530075 576675 681525 699699 807345 832975 954135 1166165 1345575 1499355 1590225 2099097 2498925 3498495 4036725 4770675 5830825 7496775 10495485 17492475 52477425