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46071828 = 22351131139
BaseRepresentation
bin1010111111000…
…0000000010100
310012200200200000
42233300000110
543243244303
64323251300
71066414125
oct257600024
9105620600
1046071828
11240084a0
1213519b30
13971144a
14619404c
1540a0da3
hex2bf0014

46071828 has 144 divisors (see below), whose sum is σ = 136980480. Its totient is φ = 13413600.

The previous prime is 46071821. The next prime is 46071847. The reversal of 46071828 is 82817064.

It is a super-2 number, since 2×460718282 = 4245226670523168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46071792 and 46071801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46071821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331383 + ... + 331521.

Almost surely, 246071828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46071828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68490240).

46071828 is an abundant number, since it is smaller than the sum of its proper divisors (90908652).

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

46071828 is a wasteful number, since it uses less digits than its factorization.

46071828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 46071828 is about 6787.6231480541. The cubic root of 46071828 is about 358.4911851617.

The spelling of 46071828 in words is "forty-six million, seventy-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 139 162 186 198 243 278 279 297 324 341 372 396 417 486 556 558 594 682 834 837 891 972 1023 1116 1188 1251 1364 1529 1668 1674 1782 2046 2502 2511 2673 3058 3069 3348 3564 3753 4092 4309 4587 5004 5022 5346 6116 6138 7506 7533 8618 9174 9207 10044 10692 11259 12276 12927 13761 15012 15066 17236 18348 18414 22518 25854 27522 27621 30132 33777 36828 38781 41283 45036 47399 51708 55044 55242 67554 77562 82566 82863 94798 110484 116343 123849 135108 142197 155124 165132 165726 189596 232686 247698 284394 331452 349029 371547 426591 465372 495396 568788 698058 743094 853182 1047087 1279773 1396116 1486188 1706364 2094174 2559546 3839319 4188348 5119092 7678638 11517957 15357276 23035914 46071828