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40991616 = 273329409
BaseRepresentation
bin1001110001011…
…1101110000000
32212010120221000
42130113232000
540443212431
64022332000
71005265041
oct234275600
985116830
1040991616
1121158676
121188a000
138652cc3
1456308c8
1538ea9e6
hex2717b80

40991616 has 128 divisors (see below), whose sum is σ = 125460000. Its totient is φ = 13160448.

The previous prime is 40991609. The next prime is 40991627. The reversal of 40991616 is 61619904.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100020 + ... + 100428.

Almost surely, 240991616 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 40991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62730000).

40991616 is an abundant number, since it is smaller than the sum of its proper divisors (84468384).

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

40991616 is a wasteful number, since it uses less digits than its factorization.

40991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 40991616 is about 6402.4695235510. The cubic root of 40991616 is about 344.7982184902.

The spelling of 40991616 in words is "forty million, nine hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 409 432 464 522 576 696 783 818 864 928 1044 1152 1227 1392 1566 1636 1728 1856 2088 2454 2784 3132 3272 3456 3681 3712 4176 4908 5568 6264 6544 7362 8352 9816 11043 11136 11861 12528 13088 14724 16704 19632 22086 23722 25056 26176 29448 33408 35583 39264 44172 47444 50112 52352 58896 71166 78528 88344 94888 100224 106749 117792 142332 157056 176688 189776 213498 235584 284664 320247 353376 379552 426996 471168 569328 640494 706752 759104 853992 1138656 1280988 1413504 1518208 1707984 2277312 2561976 3415968 4554624 5123952 6831936 10247904 13663872 20495808 40991616