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5800052632 = 23111931317353
BaseRepresentation
bin1010110011011010…
…11100011110011000
3112222012211012110011
411121231130132120
543334303141012
62355311131304
7263505430303
oct53155343630
915865735404
105800052632
112506a84430
12115a513b34
1371582c70a
143d0441b3a
1523e2de1a7
hex159b5c798

5800052632 has 128 divisors (see below), whose sum is σ = 12968294400. Its totient is φ = 2402611200.

The previous prime is 5800052627. The next prime is 5800052653. The reversal of 5800052632 is 2362500085.

It is a happy number.

It is a super-2 number, since 2×58000526322 = 67281221067940254848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 5800052594 and 5800052603.

It is a congruent number.

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, 16430568 + ... + 16430920.

It is an arithmetic number, because the mean of its divisors is an integer number (101314800).

Almost surely, 25800052632 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 5800052632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6484147200).

5800052632 is an abundant number, since it is smaller than the sum of its proper divisors (7168241768).

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

5800052632 is a wasteful number, since it uses less digits than its factorization.

5800052632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 5800052632 is about 76158.0766038639. The cubic root of 5800052632 is about 1796.7072138397.

The spelling of 5800052632 in words is "five billion, eight hundred million, fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 124 152 209 248 317 341 353 418 589 634 682 706 836 1178 1268 1364 1412 1672 2356 2536 2728 2824 3487 3883 4712 6023 6479 6707 6974 7766 9827 10943 12046 12958 13414 13948 15532 19654 21886 24092 25916 26828 27896 31064 39308 43772 48184 51832 53656 66253 73777 78616 87544 108097 111901 120373 132506 147554 186713 207917 216194 223802 240746 265012 295108 373426 415834 432388 447604 481492 530024 590216 746852 831668 864776 895208 962984 1230911 1493704 1663336 2053843 2126119 2287087 2461822 3468931 4107686 4252238 4574174 4923644 6937862 8215372 8504476 9148348 9847288 13875724 16430744 17008952 18296696 23387309 27751448 38158241 46774618 65909689 76316482 93549236 131819378 152632964 187098472 263638756 305265928 527277512 725006579 1450013158 2900026316 5800052632