Search a number
-
+
472745970 = 23453167281
BaseRepresentation
bin11100001011011…
…000011111110010
31012221112222120000
4130023120133302
51432010332340
6114524330430
714500163064
oct3413303762
91187488500
10472745970
11222942054
121123a3a16
1376c31c58
1446add734
152b782d30
hex1c2d87f2

472745970 has 160 divisors (see below), whose sum is σ = 1336490496. Its totient is φ = 119750400.

The previous prime is 472745947. The next prime is 472745983. The reversal of 472745970 is 79547274.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1682230 + ... + 1682510.

Almost surely, 2472745970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472745970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668245248).

472745970 is an abundant number, since it is smaller than the sum of its proper divisors (863744526).

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

472745970 is a wasteful number, since it uses less digits than its factorization.

472745970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 472745970 is about 21742.7222306684. The cubic root of 472745970 is about 779.0092450358.

The spelling of 472745970 in words is "four hundred seventy-two million, seven hundred forty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 67 81 90 93 134 135 155 162 186 201 270 279 281 310 335 402 405 465 558 562 603 670 810 837 843 930 1005 1206 1395 1405 1674 1686 1809 2010 2077 2511 2529 2790 2810 3015 3618 4154 4185 4215 5022 5058 5427 6030 6231 7587 8370 8430 8711 9045 10385 10854 12462 12555 12645 15174 17422 18090 18693 18827 20770 22761 25110 25290 26133 27135 31155 37386 37654 37935 43555 45522 52266 54270 56079 56481 62310 75870 78399 87110 93465 94135 112158 112962 113805 130665 156798 168237 169443 186930 188270 227610 235197 261330 280395 282405 336474 338886 391995 470394 508329 560790 564810 583637 705591 783990 841185 847215 1016658 1167274 1175985 1411182 1524987 1682370 1694430 1750911 2351970 2541645 2918185 3049974 3501822 3527955 5083290 5252733 5836370 7055910 7624935 8754555 10505466 15249870 15758199 17509110 26263665 31516398 47274597 52527330 78790995 94549194 157581990 236372985 472745970