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472976240 = 245115310141
BaseRepresentation
bin11100001100010…
…000101101110000
31012221222200102112
4130030100231300
51432040214430
6114533304452
714502142322
oct3414205560
91187880375
10472976240
11222a8a060
12112495128
1376cb29c9
1446b5d612
152b7cb195
hex1c310b70

472976240 has 80 divisors (see below), whose sum is σ = 1222394976. Its totient is φ = 168729600.

The previous prime is 472976219. The next prime is 472976297. The reversal of 472976240 is 42679274.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41570 + ... + 51710.

Almost surely, 2472976240 is an apocalyptic number.

472976240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611197488).

472976240 is an abundant number, since it is smaller than the sum of its proper divisors (749418736).

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

472976240 is a wasteful number, since it uses less digits than its factorization.

472976240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 472976240 is about 21748.0169210896. The cubic root of 472976240 is about 779.1357071338.

The spelling of 472976240 in words is "four hundred seventy-two million, nine hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 53 55 80 88 106 110 176 212 220 265 424 440 530 583 848 880 1060 1166 2120 2332 2915 4240 4664 5830 9328 10141 11660 20282 23320 40564 46640 50705 81128 101410 111551 162256 202820 223102 405640 446204 537473 557755 811280 892408 1074946 1115510 1784816 2149892 2231020 2687365 4299784 4462040 5374730 5912203 8599568 8924080 10749460 11824406 21498920 23648812 29561015 42997840 47297624 59122030 94595248 118244060 236488120 472976240