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3740497056 = 2535796089
BaseRepresentation
bin1101111011110011…
…0111010010100000
3100122200101221100000
43132330313102200
530130031401211
61415055500000
7161456462142
oct33674672240
910580357300
103740497056
11164a45a88a
12884827600
13477c3278a
14276ac2c92
1516d5b5656
hexdef374a0

3740497056 has 144 divisors (see below), whose sum is σ = 11172470400. Its totient is φ = 1230847488.

The previous prime is 3740497051. The next prime is 3740497067. The reversal of 3740497056 is 6507940473.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (3740497051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611260 + ... + 617348.

It is an arithmetic number, because the mean of its divisors is an integer number (77586600).

Almost surely, 23740497056 is an apocalyptic number.

3740497056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3740497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586235200).

3740497056 is an abundant number, since it is smaller than the sum of its proper divisors (7431973344).

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

3740497056 is an equidigital number, since it uses as much as digits as its factorization.

3740497056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6193 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3740497056 is about 61159.6031380191. The cubic root of 3740497056 is about 1552.3027936865.

The spelling of 3740497056 in words is "three billion, seven hundred forty million, four hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 81 96 108 144 158 162 216 237 243 288 316 324 432 474 486 632 648 711 864 948 972 1264 1296 1422 1896 1944 2133 2528 2592 2844 3792 3888 4266 5688 6089 6399 7584 7776 8532 11376 12178 12798 17064 18267 19197 22752 24356 25596 34128 36534 38394 48712 51192 54801 68256 73068 76788 97424 102384 109602 146136 153576 164403 194848 204768 219204 292272 307152 328806 438408 481031 493209 584544 614304 657612 876816 962062 986418 1315224 1443093 1479627 1753632 1924124 1972836 2630448 2886186 2959254 3848248 3945672 4329279 5260896 5772372 5918508 7696496 7891344 8658558 11544744 11837016 12987837 15392992 15782688 17317116 23089488 23674032 25975674 34634232 38963511 46178976 47348064 51951348 69268464 77927022 103902696 116890533 138536928 155854044 207805392 233781066 311708088 415610784 467562132 623416176 935124264 1246832352 1870248528 3740497056