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40808772 = 22341731239
BaseRepresentation
bin1001101110101…
…1000101000100
32211210022010000
42123223011010
540421340042
64014401300
71003604004
oct233530504
984708100
1040808772
1121043264
1211800230
1385baa04
1455c4004
1538b174c
hex26eb144

40808772 has 120 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 12337920.

The previous prime is 40808759. The next prime is 40808819. The reversal of 40808772 is 27780804.

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 39 ways as a sum of consecutive naturals, for example, 170629 + ... + 170867.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 240808772 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 40808772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

40808772 is an abundant number, since it is smaller than the sum of its proper divisors (76280508).

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

40808772 is a wasteful number, since it uses less digits than its factorization.

40808772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 40808772 is about 6388.1743871000. The cubic root of 40808772 is about 344.2847943529.

The spelling of 40808772 in words is "forty million, eight hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 31 34 36 51 54 62 68 81 93 102 108 124 153 162 186 204 239 279 306 324 372 459 478 527 558 612 717 837 918 956 1054 1116 1377 1434 1581 1674 1836 2108 2151 2511 2754 2868 3162 3348 4063 4302 4743 5022 5508 6324 6453 7409 8126 8604 9486 10044 12189 12906 14229 14818 16252 18972 19359 22227 24378 25812 28458 29636 36567 38718 42687 44454 48756 56916 66681 73134 77436 85374 88908 109701 125953 133362 146268 170748 200043 219402 251906 266724 329103 377859 400086 438804 503812 600129 658206 755718 800172 1133577 1200258 1316412 1511436 2267154 2400516 3400731 4534308 6801462 10202193 13602924 20404386 40808772