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40789632 = 273138171
BaseRepresentation
bin1001101110011…
…0011010000000
32211202022212010
42123212122000
540420232012
64014132520
71003464132
oct233463200
984668763
1040789632
112102a944
12117b1140
1385b20a0
1455bb052
1538aac3c
hex26e6680

40789632 has 64 divisors (see below), whose sum is σ = 116696160. Its totient is φ = 12549120.

The previous prime is 40789597. The next prime is 40789643. The reversal of 40789632 is 23698704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 907 + ... + 9077.

Almost surely, 240789632 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 40789632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58348080).

40789632 is an abundant number, since it is smaller than the sum of its proper divisors (75906528).

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

40789632 is a wasteful number, since it uses less digits than its factorization.

40789632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8201 (or 8189 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 40789632 is about 6386.6761308211. The cubic root of 40789632 is about 344.2309608172.

The spelling of 40789632 in words is "forty million, seven hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8171 16342 24513 32684 49026 65368 98052 106223 130736 196104 212446 261472 318669 392208 424892 522944 637338 784416 849784 1045888 1274676 1568832 1699568 2549352 3137664 3399136 5098704 6798272 10197408 13596544 20394816 40789632