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40763952 = 2433127743
BaseRepresentation
bin1001101110000…
…0001000110000
32211201000122000
42123200020300
540413421302
64013414000
71003326225
oct233401060
984630560
1040763952
1121012619
121179a300
1385a34a8
1455b194c
1538a331c
hex26e0230

40763952 has 80 divisors (see below), whose sum is σ = 118087680. Its totient is φ = 13462848.

The previous prime is 40763923. The next prime is 40763953. The reversal of 40763952 is 25936704.

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

It is not an unprimeable number, because it can be changed into a prime (40763953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54493 + ... + 55235.

It is an arithmetic number, because the mean of its divisors is an integer number (1476096).

Almost surely, 240763952 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 40763952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043840).

40763952 is an abundant number, since it is smaller than the sum of its proper divisors (77323728).

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

40763952 is a wasteful number, since it uses less digits than its factorization.

40763952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 40763952 is about 6384.6653788589. The cubic root of 40763952 is about 344.1587062892.

The spelling of 40763952 in words is "forty million, seven hundred sixty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 743 762 1016 1143 1486 1524 2032 2229 2286 2972 3048 3429 4458 4572 5944 6096 6687 6858 8916 9144 11888 13374 13716 17832 18288 20061 26748 27432 35664 40122 53496 54864 80244 94361 106992 160488 188722 283083 320976 377444 566166 754888 849249 1132332 1509776 1698498 2264664 2547747 3396996 4529328 5095494 6793992 10190988 13587984 20381976 40763952