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3742901808 = 2431931413229
BaseRepresentation
bin1101111100011000…
…0010011000110000
3100122211221010000220
43133012002120300
530131140324213
61415223213040
7161516066112
oct33706023060
910584833026
103742901808
111650852588
128855a7180
134785951c9
1427714b3b2
1516d8dce23
hexdf182630

3742901808 has 160 divisors (see below), whose sum is σ = 10765977600. Its totient is φ = 1115596800.

The previous prime is 3742901801. The next prime is 3742901809. The reversal of 3742901808 is 8081092473.

It is a self number, because there is not a number n which added to its sum of digits gives 3742901808.

It is not an unprimeable number, because it can be changed into a prime (3742901801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157538 + ... + 1160766.

It is an arithmetic number, because the mean of its divisors is an integer number (67287360).

Almost surely, 23742901808 is an apocalyptic number.

3742901808 is a gapful number since it is divisible by the number (38) 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 3742901808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382988800).

3742901808 is an abundant number, since it is smaller than the sum of its proper divisors (7023075792).

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

3742901808 is a wasteful number, since it uses less digits than its factorization.

3742901808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 3742901808 is about 61179.2596228493. The cubic root of 3742901808 is about 1552.6353790373.

The spelling of 3742901808 in words is "three billion, seven hundred forty-two million, nine hundred one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 41 48 57 62 76 82 93 114 123 124 152 164 186 228 246 248 304 328 372 456 492 496 589 656 744 779 912 984 1178 1271 1488 1558 1767 1968 2337 2356 2542 3116 3229 3534 3813 4674 4712 5084 6232 6458 7068 7626 9348 9424 9687 10168 12464 12916 14136 15252 18696 19374 20336 24149 25832 28272 30504 37392 38748 48298 51664 61008 61351 72447 77496 96596 100099 122702 132389 144894 154992 184053 193192 200198 245404 264778 289788 300297 368106 386384 397167 400396 490808 529556 579576 600594 736212 794334 800792 981616 1059112 1159152 1201188 1472424 1588668 1601584 1901881 2118224 2402376 2515391 2944848 3177336 3803762 4104059 4804752 5030782 5705643 6354672 7546173 7607524 8208118 10061564 11411286 12312177 15092346 15215048 16416236 20123128 22822572 24624354 30184692 30430096 32832472 40246256 45645144 49248708 60369384 65664944 77977121 91290288 98497416 120738768 155954242 196994832 233931363 311908484 467862726 623816968 935725452 1247633936 1871450904 3742901808