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4812869424 = 2431137673677
BaseRepresentation
bin1000111101101111…
…01000111100110000
3110102102021002200010
410132313220330300
534324043310144
62113324254520
7230160500166
oct43667507460
913372232603
104812869424
11204a815040
12b239a1440
135b915c23c
143392ad236
151d27e05b9
hex11ede8f30

4812869424 has 160 divisors (see below), whose sum is σ = 14141880576. Its totient is φ = 1397468160.

The previous prime is 4812869389. The next prime is 4812869449. The reversal of 4812869424 is 4249682184.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1307074 + ... + 1310750.

Almost surely, 24812869424 is an apocalyptic number.

4812869424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4812869424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070940288).

4812869424 is an abundant number, since it is smaller than the sum of its proper divisors (9329011152).

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

4812869424 is a wasteful number, since it uses less digits than its factorization.

4812869424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3803 (or 3797 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 4812869424 is about 69374.8471998317. The cubic root of 4812869424 is about 1688.3715536924.

The spelling of 4812869424 in words is "four billion, eight hundred twelve million, eight hundred sixty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 67 74 88 111 132 134 148 176 201 222 264 268 296 402 407 444 528 536 592 737 804 814 888 1072 1221 1474 1608 1628 1776 2211 2442 2479 2948 3216 3256 3677 4422 4884 4958 5896 6512 7354 7437 8844 9768 9916 11031 11792 14708 14874 17688 19536 19832 22062 27269 29416 29748 35376 39664 40447 44124 54538 58832 59496 80894 81807 88248 109076 118992 121341 136049 161788 163614 176496 218152 242682 246359 272098 323576 327228 408147 436304 485364 492718 544196 647152 654456 739077 816294 970728 985436 1088392 1308912 1478154 1496539 1632588 1941456 1970872 2176784 2709949 2956308 2993078 3265176 3941744 4489617 5419898 5912616 5986156 6530352 8129847 8979234 9115283 10839796 11825232 11972312 16259694 17958468 18230566 21679592 23944624 27345849 32519388 35916936 36461132 43359184 54691698 65038776 71833872 72922264 100268113 109383396 130077552 145844528 200536226 218766792 300804339 401072452 437533584 601608678 802144904 1203217356 1604289808 2406434712 4812869424