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472634250256 = 24724325712
BaseRepresentation
bin1101110000010110011…
…00100101010000010000
31200011221200201120212201
412320023030211100100
530220423332002011
61001043012132544
746101213561400
oct6701314452020
91604850646781
10472634250256
111724967926a3
1277724307154
133575275b34c
1418c389b4800
15c463402cc1
hex6e0b325410

472634250256 has 135 divisors (see below), whose sum is σ = 1092497948703. Its totient is φ = 197500403520.

The previous prime is 472634250229. The next prime is 472634250259. The reversal of 472634250256 is 652052436274.

The square root of 472634250256 is 687484.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (472634250259) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 827730451 + ... + 827731021.

Almost surely, 2472634250256 is an apocalyptic number.

472634250256 is the 687484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472634250256

472634250256 is an abundant number, since it is smaller than the sum of its proper divisors (619863698447).

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

472634250256 is an frugal number, since it uses more digits than its factorization.

472634250256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 472634250256 in words is "four hundred seventy-two billion, six hundred thirty-four million, two hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 571 602 688 784 1142 1204 1849 2107 2284 2408 3698 3997 4214 4568 4816 7396 7994 8428 9136 12943 14792 15988 16856 24553 25886 27979 29584 31976 33712 49106 51772 55958 63952 90601 98212 103544 111916 171871 181202 196424 207088 223832 326041 343742 362404 392848 447664 652082 687484 724808 1055779 1203097 1304164 1374968 1449616 2111558 2282287 2406194 2608328 2749936 4223116 4564574 4812388 5216656 7390453 8446232 9129148 9624776 14019763 14780906 15976009 16892464 18258296 19249552 28039526 29561812 31952018 36516592 51733171 56079052 59123624 63904036 98138341 103466342 112158104 118247248 127808072 196276682 206932684 224316208 255616144 392553364 413865368 602849809 686968387 785106728 827730736 1205699618 1373936774 1570213456 2411399236 2747873548 4219948663 4822798472 5495747096 8439897326 9645596944 10991494192 16879794652 29539640641 33759589304 59079281282 67519178608 118158562564 236317125128 472634250256