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481714704 = 2432312592
BaseRepresentation
bin11100101101100…
…110001000010000
31020120102122100100
4130231212020100
51441304332304
6115444452400
714636336022
oct3455461020
91216378310
10481714704
11227a08429
121153aa100
1378a522b3
1447d96012
152c455439
hex1cb66210

481714704 has 135 divisors (see below), whose sum is σ = 1417033839. Its totient is φ = 152758080.

The previous prime is 481714693. The next prime is 481714741. The reversal of 481714704 is 407417184.

The square root of 481714704 is 21948.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8164627 + ... + 8164685.

Almost surely, 2481714704 is an apocalyptic number.

481714704 is the 21948-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481714704

481714704 is an abundant number, since it is smaller than the sum of its proper divisors (935319135).

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

481714704 is a wasteful number, since it uses less digits than its factorization.

481714704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The cubic root of 481714704 is about 783.9047590122.

Multiplying 481714704 by its sum of digits (36), we get a square (17341729344 = 1316882).

481714704 divided by its sum of digits (36) gives a square (13380964 = 36582).

The spelling of 481714704 in words is "four hundred eighty-one million, seven hundred fourteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 59 62 72 93 118 124 144 177 186 236 248 279 354 372 472 496 531 558 708 744 944 961 1062 1116 1416 1488 1829 1922 2124 2232 2832 2883 3481 3658 3844 4248 4464 5487 5766 6962 7316 7688 8496 8649 10443 10974 11532 13924 14632 15376 16461 17298 20886 21948 23064 27848 29264 31329 32922 34596 41772 43896 46128 55696 56699 62658 65844 69192 83544 87792 107911 113398 125316 131688 138384 167088 170097 215822 226796 250632 263376 323733 340194 431644 453592 501264 510291 647466 680388 863288 907184 971199 1020582 1294932 1360776 1726576 1942398 2041164 2589864 2721552 3345241 3884796 4082328 5179728 6690482 7769592 8164656 10035723 13380964 15539184 20071446 26761928 30107169 40142892 53523856 60214338 80285784 120428676 160571568 240857352 481714704