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104227952 = 24173147263
BaseRepresentation
bin1100011011001…
…10010001110000
321021010022212112
412031212101300
5203140243302
614201544452
72403631403
oct615462160
9237108775
10104227952
115391a004
122aaa5128
131879405a
14dbb1d3a
15923c552
hex6366470

104227952 has 80 divisors (see below), whose sum is σ = 226271232. Its totient is φ = 46279680.

The previous prime is 104227931. The next prime is 104227961. The reversal of 104227952 is 259722401.

It is a super-2 number, since 2×1042279522 = 21726931956228608, which contains 22 as substring.

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, 396173 + ... + 396435.

Almost surely, 2104227952 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 104227952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113135616).

104227952 is an abundant number, since it is smaller than the sum of its proper divisors (122043280).

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

104227952 is a wasteful number, since it uses less digits than its factorization.

104227952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 104227952 is about 10209.2091760332. The cubic root of 104227952 is about 470.6102710809.

The spelling of 104227952 in words is "one hundred four million, two hundred twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 17 31 34 47 62 68 94 124 136 188 248 263 272 376 496 526 527 752 799 1052 1054 1457 1598 2104 2108 2914 3196 4208 4216 4471 5828 6392 8153 8432 8942 11656 12361 12784 16306 17884 23312 24722 24769 32612 35768 49444 49538 65224 71536 98888 99076 130448 138601 197776 198152 210137 277202 383191 396304 420274 554404 766382 840548 1108808 1532764 1681096 2217616 3065528 3362192 6131056 6514247 13028494 26056988 52113976 104227952