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40799232 = 2103219233
BaseRepresentation
bin1001101110100…
…0110000000000
32211202211000200
42123220300000
540421033412
64014245200
71003534125
oct233506000
984684020
1040799232
1121037081
12117b6800
1385b6576
1455c074c
1538ad9dc
hex26e8c00

40799232 has 132 divisors (see below), whose sum is σ = 124539480. Its totient is φ = 12828672.

The previous prime is 40799221. The next prime is 40799249. The reversal of 40799232 is 23299704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174988 + ... + 175220.

Almost surely, 240799232 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 40799232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62269740).

40799232 is an abundant number, since it is smaller than the sum of its proper divisors (83740248).

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

40799232 is a wasteful number, since it uses less digits than its factorization.

40799232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 40799232 is about 6387.4276512537. The cubic root of 40799232 is about 344.2579640682.

The spelling of 40799232 in words is "forty million, seven hundred ninety-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 233 256 288 304 342 384 456 466 512 576 608 684 699 768 912 932 1024 1152 1216 1368 1398 1536 1824 1864 2097 2304 2432 2736 2796 3072 3648 3728 4194 4427 4608 4864 5472 5592 7296 7456 8388 8854 9216 9728 10944 11184 13281 14592 14912 16776 17708 19456 21888 22368 26562 29184 29824 33552 35416 39843 43776 44736 53124 58368 59648 67104 70832 79686 87552 89472 106248 119296 134208 141664 159372 175104 178944 212496 238592 268416 283328 318744 357888 424992 536832 566656 637488 715776 849984 1073664 1133312 1274976 1699968 2147328 2266624 2549952 3399936 4533248 5099904 6799872 10199808 13599744 20399616 40799232