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870055424 = 2973141191
BaseRepresentation
bin110011110110111…
…111111000000000
32020122011101122222
4303312333320000
53240213233144
6222200150212
730363230510
oct6366777000
92218141588
10870055424
1140713a577
12203468368
1310b3409c4
14837a3840
15515b42ee
hex33dbfe00

870055424 has 160 divisors (see below), whose sum is σ = 2111864832. Its totient is φ = 350208000.

The previous prime is 870055423. The next prime is 870055447. The reversal of 870055424 is 424550078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870055423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4555169 + ... + 4555359.

Almost surely, 2870055424 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 870055424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055932416).

870055424 is an abundant number, since it is smaller than the sum of its proper divisors (1241809408).

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

870055424 is a wasteful number, since it uses less digits than its factorization.

870055424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 35.

The square root of 870055424 is about 29496.7019173331. The cubic root of 870055424 is about 954.6605425294.

It can be divided in two parts, 87005 and 5424, that added together give a palindrome (92429).

The spelling of 870055424 in words is "eight hundred seventy million, fifty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 191 217 224 248 256 287 328 382 434 448 496 512 574 656 764 868 896 992 1148 1271 1312 1337 1528 1736 1792 1984 2296 2542 2624 2674 3056 3472 3584 3968 4592 5084 5248 5348 5921 6112 6944 7831 7936 8897 9184 10168 10496 10696 11842 12224 13888 15662 15872 17794 18368 20336 20992 21392 23684 24448 27776 31324 35588 36736 40672 41447 42784 47368 48896 54817 55552 62648 71176 73472 81344 82894 85568 94736 97792 109634 111104 125296 142352 146944 162688 165788 171136 189472 219268 242761 250592 284704 325376 331576 342272 378944 438536 485522 501184 569408 650752 663152 684544 757888 877072 971044 1002368 1138816 1326304 1515776 1699327 1754144 1942088 2004736 2277632 2652608 3031552 3398654 3508288 3884176 4009472 4555264 5305216 6797308 7016576 7768352 10610432 13594616 14033152 15536704 21220864 27189232 28066304 31073408 54378464 62146816 108756928 124293632 217513856 435027712 870055424