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45139896 = 23331719647
BaseRepresentation
bin1010110000110…
…0011110111000
310010221100022000
42230030132320
543023434041
64251301000
71055453124
oct254143670
9103840260
1045139896
11235312aa
121314a760
1394761c9
145dd0584
153e69bb6
hex2b0c7b8

45139896 has 128 divisors (see below), whose sum is σ = 139968000. Its totient is φ = 13395456.

The previous prime is 45139867. The next prime is 45139909. The reversal of 45139896 is 69893154.

45139896 = T1 + T2 + ... + T646.

It is a happy number.

45139896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

45139896 is a nontrivial binomial coefficient, being equal to C(648, 3).

It is a super-2 number, since 2×451398962 = 4075220421781632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is the 646-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69445 + ... + 70091.

It is an arithmetic number, because the mean of its divisors is an integer number (1093500).

Almost surely, 245139896 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 45139896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69984000).

45139896 is an abundant number, since it is smaller than the sum of its proper divisors (94828104).

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

45139896 is a wasteful number, since it uses less digits than its factorization.

45139896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 688 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 45139896 is about 6718.6230732197. The cubic root of 45139896 is about 356.0575381477.

The spelling of 45139896 in words is "forty-five million, one hundred thirty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 102 108 114 136 152 153 171 204 216 228 306 323 342 408 456 459 513 612 646 647 684 918 969 1026 1224 1292 1294 1368 1836 1938 1941 2052 2584 2588 2907 3672 3876 3882 4104 5176 5814 5823 7752 7764 8721 10999 11628 11646 12293 15528 17442 17469 21998 23256 23292 24586 32997 34884 34938 36879 43996 46584 49172 65994 69768 69876 73758 87992 98344 98991 110637 131988 139752 147516 197982 208981 221274 263976 295032 296973 331911 395964 417962 442548 593946 626943 663822 791928 835924 885096 1187892 1253886 1327644 1671848 1880829 2375784 2507772 2655288 3761658 5015544 5642487 7523316 11284974 15046632 22569948 45139896