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474953076 = 22321361127131
BaseRepresentation
bin11100010011110…
…011010101110100
31020002201010010200
4130103303111310
51433041444301
6115043520500
714525014563
oct3423632564
91202633120
10474953076
1122410a304
12113089130
1377525730
1447115bda
152ba6bc86
hex1c4f3574

474953076 has 144 divisors (see below), whose sum is σ = 1334581248. Its totient is φ = 141523200.

The previous prime is 474953071. The next prime is 474953093. The reversal of 474953076 is 670359474.

474953076 is a `hidden beast` number, since 4 + 7 + 49 + 530 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474953071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3625531 + ... + 3625661.

Almost surely, 2474953076 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 474953076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667290624).

474953076 is an abundant number, since it is smaller than the sum of its proper divisors (859628172).

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

474953076 is a wasteful number, since it uses less digits than its factorization.

474953076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 474953076 is about 21793.4181807260. The cubic root of 474953076 is about 780.2196817121.

The spelling of 474953076 in words is "four hundred seventy-four million, nine hundred fifty-three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 61 78 117 122 127 131 156 183 234 244 254 262 366 381 393 468 508 524 549 732 762 786 793 1098 1143 1179 1524 1572 1586 1651 1703 2196 2286 2358 2379 3172 3302 3406 4572 4716 4758 4953 5109 6604 6812 7137 7747 7991 9516 9906 10218 14274 14859 15327 15494 15982 16637 19812 20436 23241 23973 28548 29718 30654 30988 31964 33274 46482 47946 49911 59436 61308 66548 69723 71919 92964 95892 99822 100711 103883 139446 143838 149733 199644 201422 207766 216281 278892 287676 299466 302133 311649 402844 415532 432562 598932 604266 623298 648843 865124 906399 934947 1014857 1208532 1246596 1297686 1812798 1869894 1946529 2029714 2595372 3044571 3625596 3739788 3893058 4059428 6089142 7786116 9133713 12178284 13193141 18267426 26386282 36534852 39579423 52772564 79158846 118738269 158317692 237476538 474953076