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472070976 = 26313316101
BaseRepresentation
bin11100001000110…
…011101101000000
31012220021200122020
4130020303231000
51431322232401
6114502041440
714461352136
oct3410635500
91186250566
10472070976
11222520a03
12112119280
1376a56950
14469a5756
152b69cd36
hex1c233b40

472070976 has 112 divisors (see below), whose sum is σ = 1388717568. Its totient is φ = 140544000.

The previous prime is 472070953. The next prime is 472070981. The reversal of 472070976 is 679070274.

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, 74326 + ... + 80426.

It is an arithmetic number, because the mean of its divisors is an integer number (12399264).

Almost surely, 2472070976 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 472070976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694358784).

472070976 is an abundant number, since it is smaller than the sum of its proper divisors (916646592).

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

472070976 is a wasteful number, since it uses less digits than its factorization.

472070976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6150 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 42.

The square root of 472070976 is about 21727.1943885997. The cubic root of 472070976 is about 778.6383079578.

The spelling of 472070976 in words is "four hundred seventy-two million, seventy thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 156 186 192 208 248 312 372 403 416 496 624 744 806 832 992 1209 1248 1488 1612 1984 2418 2496 2976 3224 4836 5952 6101 6448 9672 12202 12896 18303 19344 24404 25792 36606 38688 48808 73212 77376 79313 97616 146424 158626 189131 195232 237939 292848 317252 378262 390464 475878 567393 585696 634504 756524 951756 1134786 1171392 1269008 1513048 1903512 2269572 2458703 2538016 3026096 3807024 4539144 4917406 5076032 6052192 7376109 7614048 9078288 9834812 12104384 14752218 15228096 18156576 19669624 29504436 36313152 39339248 59008872 78678496 118017744 157356992 236035488 472070976