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3852672432 = 243727123071
BaseRepresentation
bin1110010110100011…
…0001110110110000
3100221111111001000120
43211220301312300
530342241004212
61434144050240
7164321114100
oct34550616660
910844431016
103852672432
1116a7807904
128b6303980
1349524a03b
14287963200
1517837288c
hexe5a31db0

3852672432 has 120 divisors (see below), whose sum is σ = 11741248512. Its totient is φ = 1085212800.

The previous prime is 3852672347. The next prime is 3852672457. The reversal of 3852672432 is 2342762583.

3852672432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155457 + ... + 178527.

Almost surely, 23852672432 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 3852672432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870624256).

3852672432 is an abundant number, since it is smaller than the sum of its proper divisors (7888576080).

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

3852672432 is a wasteful number, since it uses less digits than its factorization.

3852672432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23167 (or 23154 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 3852672432 is about 62069.8995649260. The cubic root of 3852672432 is about 1567.6677654941.

The spelling of 3852672432 in words is "three billion, eight hundred fifty-two million, six hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 994 1136 1176 1491 1704 1988 2352 2982 3408 3479 3976 5964 6958 7952 10437 11928 13916 20874 23071 23856 27832 41748 46142 55664 69213 83496 92284 138426 161497 166992 184568 276852 322994 369136 484491 553704 645988 968982 1107408 1130479 1291976 1638041 1937964 2260958 2583952 3276082 3391437 3875928 4521916 4914123 6552164 6782874 7751856 9043832 9828246 11466287 13104328 13565748 18087664 19656492 22932574 26208656 27131496 34398861 39312984 45865148 54262992 68797722 78625968 80264009 91730296 137595444 160528018 183460592 240792027 275190888 321056036 481584054 550381776 642112072 963168108 1284224144 1926336216 3852672432