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145775904 = 25319229349
BaseRepresentation
bin10001011000001…
…01110100100000
3101011022011221120
420230011310200
5244304312104
622244252240
73420034431
oct1054056440
9334264846
10145775904
117531765a
12409a1080
1324280341
1415509488
15cbe7cd9
hex8b05d20

145775904 has 96 divisors (see below), whose sum is σ = 405720000. Its totient is φ = 45702144.

The previous prime is 145775897. The next prime is 145775921. The reversal of 145775904 is 409577541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1457759042 = 42501228374034432, which contains 22 as substring.

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, 417522 + ... + 417870.

It is an arithmetic number, because the mean of its divisors is an integer number (4226250).

Almost surely, 2145775904 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 145775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202860000).

145775904 is an abundant number, since it is smaller than the sum of its proper divisors (259944096).

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

145775904 is a wasteful number, since it uses less digits than its factorization.

145775904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 145775904 is about 12073.7692540482. The cubic root of 145775904 is about 526.2941965766.

The spelling of 145775904 in words is "one hundred forty-five million, seven hundred seventy-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 229 304 349 456 458 608 687 698 912 916 1047 1374 1396 1824 1832 2094 2748 2792 3664 4188 4351 5496 5584 6631 7328 8376 8702 10992 11168 13053 13262 16752 17404 19893 21984 26106 26524 33504 34808 39786 52212 53048 69616 79572 79921 104424 106096 139232 159144 159842 208848 212192 239763 318288 319684 417696 479526 636576 639368 959052 1278736 1518499 1918104 2557472 3036998 3836208 4555497 6073996 7672416 9110994 12147992 18221988 24295984 36443976 48591968 72887952 145775904