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1457458056 = 233331217661
BaseRepresentation
bin101011011011111…
…0000101110001000
310202120110112121000
41112313300232020
510441102124211
6400342215000
751055121565
oct12667605610
93676415530
101457458056
1168877389a
12348124460
131a2c48722
14db7cb86c
1587e44656
hex56df0b88

1457458056 has 64 divisors (see below), whose sum is σ = 4179110400. Its totient is φ = 470145600.

The previous prime is 1457458033. The next prime is 1457458073. The reversal of 1457458056 is 6508547541.

1457458056 is a `hidden beast` number, since 14 + 5 + 7 + 4 + 580 + 56 = 666.

1457458056 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 102135 + ... + 115526.

It is an arithmetic number, because the mean of its divisors is an integer number (65298600).

Almost surely, 21457458056 is an apocalyptic number.

It is an amenable number.

1457458056 is an abundant number, since it is smaller than the sum of its proper divisors (2721652344).

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

1457458056 is a wasteful number, since it uses less digits than its factorization.

1457458056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217707 (or 217697 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 1457458056 is about 38176.6690008440. The cubic root of 1457458056 is about 1133.7884322981.

The spelling of 1457458056 in words is "one billion, four hundred fifty-seven million, four hundred fifty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 217661 435322 652983 870644 1305966 1741288 1958949 2611932 3917898 5223864 5876847 6747491 7835796 11753694 13494982 15671592 20242473 23507388 26989964 40484946 47014776 53979928 60727419 80969892 121454838 161939784 182182257 242909676 364364514 485819352 728729028 1457458056