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104442272 = 25114759107
BaseRepresentation
bin1100011100110…
…10100110100000
321021112012212022
412032122212200
5203214123042
614210321012
72405513264
oct616324640
9237465768
10104442272
1153a56030
122ab89168
131883a77c
14dc2a0a4
159280cd2
hex639a9a0

104442272 has 96 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 45249280.

The previous prime is 104442263. The next prime is 104442281. The reversal of 104442272 is 272244401.

It is an interprime number because it is at equal distance from previous prime (104442263) and next prime (104442281).

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, 976043 + ... + 976149.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2104442272 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 104442272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

104442272 is an abundant number, since it is smaller than the sum of its proper divisors (130703968).

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

104442272 is a wasteful number, since it uses less digits than its factorization.

104442272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 104442272 is about 10219.7001912972. The cubic root of 104442272 is about 470.9326162800.

Adding to 104442272 its reverse (272244401), we get a palindrome (376686673).

The spelling of 104442272 in words is "one hundred four million, four hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 59 88 94 107 118 176 188 214 236 352 376 428 472 517 649 752 856 944 1034 1177 1298 1504 1712 1888 2068 2354 2596 2773 3424 4136 4708 5029 5192 5546 6313 8272 9416 10058 10384 11092 12626 16544 18832 20116 20768 22184 25252 30503 37664 40232 44368 50504 55319 61006 69443 80464 88736 101008 110638 122012 138886 160928 202016 221276 244024 277772 296711 442552 488048 555544 593422 885104 976096 1111088 1186844 1770208 2222176 2373688 3263821 4747376 6527642 9494752 13055284 26110568 52221136 104442272