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5438744832 = 28319675563
BaseRepresentation
bin1010001000010110…
…01010100100000000
3112001000221212022210
411010023022210000
542114304313312
62255403102120
7251530365633
oct50413124400
915030855283
105438744832
112341036544
121079511940
13688a17611
1439846dc1a
1521c71ee3c
hex1442ca900

5438744832 has 144 divisors (see below), whose sum is σ = 15467029760. Its totient is φ = 1691559936.

The previous prime is 5438744827. The next prime is 5438744849. The reversal of 5438744832 is 2384478345.

It is a super-3 number, since 3×54387448323 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 974883 + ... + 980445.

Almost surely, 25438744832 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 5438744832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7733514880).

5438744832 is an abundant number, since it is smaller than the sum of its proper divisors (10028284928).

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

5438744832 is a wasteful number, since it uses less digits than its factorization.

5438744832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5654 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 48.

The square root of 5438744832 is about 73747.8462871968. The cubic root of 5438744832 is about 1758.5965947356.

The spelling of 5438744832 in words is "five billion, four hundred thirty-eight million, seven hundred forty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 67 76 96 114 128 134 152 192 201 228 256 268 304 384 402 456 536 608 768 804 912 1072 1216 1273 1608 1824 2144 2432 2546 3216 3648 3819 4288 4864 5092 5563 6432 7296 7638 8576 10184 11126 12864 14592 15276 16689 17152 20368 22252 25728 30552 33378 40736 44504 51456 61104 66756 81472 89008 105697 122208 133512 162944 178016 211394 244416 267024 317091 325888 356032 372721 422788 488832 534048 634182 712064 745442 845576 977664 1068096 1118163 1268364 1424128 1490884 1691152 2136192 2236326 2536728 2981768 3382304 4272384 4472652 5073456 5963536 6764608 7081699 8945304 10146912 11927072 13529216 14163398 17890608 20293824 21245097 23854144 27058432 28326796 35781216 40587648 42490194 47708288 56653592 71562432 81175296 84980388 95416576 113307184 143124864 169960776 226614368 286249728 339921552 453228736 679843104 906457472 1359686208 1812914944 2719372416 5438744832