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874787472 = 243313532939
BaseRepresentation
bin110100001001000…
…011001010010000
32020222001210211000
4310021003022100
53242421144342
6222445422000
730451366536
oct6411031220
92228053730
10874787472
11409881859
12204b6a900
1310c309830
1484276156
1551beb44c
hex34243290

874787472 has 160 divisors (see below), whose sum is σ = 2756073600. Its totient is φ = 263996928.

The previous prime is 874787471. The next prime is 874787509. The reversal of 874787472 is 274787478.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (874787471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296179 + ... + 299117.

It is an arithmetic number, because the mean of its divisors is an integer number (17225460).

Almost surely, 2874787472 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 874787472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378036800).

874787472 is an abundant number, since it is smaller than the sum of its proper divisors (1881286128).

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

874787472 is a wasteful number, since it uses less digits than its factorization.

874787472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3010 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 54.

The square root of 874787472 is about 29576.8063184651. The cubic root of 874787472 is about 956.3881467465.

The spelling of 874787472 in words is "eight hundred seventy-four million, seven hundred eighty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 53 54 72 78 104 106 108 117 144 156 159 208 212 216 234 312 318 351 424 432 468 477 624 636 689 702 848 936 954 1272 1378 1404 1431 1872 1908 2067 2544 2756 2808 2862 2939 3816 4134 5512 5616 5724 5878 6201 7632 8268 8817 11024 11448 11756 12402 16536 17634 18603 22896 23512 24804 26451 33072 35268 37206 38207 47024 49608 52902 70536 74412 76414 79353 99216 105804 114621 141072 148824 152828 155767 158706 211608 229242 297648 305656 311534 317412 343863 423216 458484 467301 611312 623068 634824 687726 916968 934602 1031589 1246136 1269648 1375452 1401903 1833936 1869204 2024971 2063178 2492272 2750904 2803806 3738408 4049942 4126356 4205709 5501808 5607612 6074913 7476816 8099884 8252712 8411418 11215224 12149826 16199768 16505424 16822836 18224739 22430448 24299652 32399536 33645672 36449478 48599304 54674217 67291344 72898956 97198608 109348434 145797912 218696868 291595824 437393736 874787472