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1408931712 = 27331723981
BaseRepresentation
bin101001111111010…
…1001011110000000
310122012011010222000
41103332221132000
510341141303322
6351450144000
746625502426
oct12376513600
93565133860
101408931712
1166333a281
12333a22000
13195b88006
14d5199116
1583a5b3ac
hex53fa9780

1408931712 has 128 divisors (see below), whose sum is σ = 4403095200. Its totient is φ = 441999360.

The previous prime is 1408931707. The next prime is 1408931743. The reversal of 1408931712 is 2171398041.

It is a happy number.

1408931712 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 46762 + ... + 70742.

Almost surely, 21408931712 is an apocalyptic number.

1408931712 is a gapful number since it is divisible by the number (12) 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 1408931712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201547600).

1408931712 is an abundant number, since it is smaller than the sum of its proper divisors (2994163488).

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

1408931712 is a wasteful number, since it uses less digits than its factorization.

1408931712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24021 (or 24003 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1408931712 is about 37535.7391295283. The cubic root of 1408931712 is about 1121.0629025296.

The spelling of 1408931712 in words is "one billion, four hundred eight million, nine hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 272 288 306 384 408 432 459 544 576 612 816 864 918 1088 1152 1224 1632 1728 1836 2176 2448 3264 3456 3672 4896 6528 7344 9792 14688 19584 23981 29376 47962 58752 71943 95924 143886 191848 215829 287772 383696 407677 431658 575544 647487 767392 815354 863316 1151088 1223031 1294974 1534784 1630708 1726632 2302176 2446062 2589948 3069568 3261416 3453264 3669093 4604352 4892124 5179896 6522832 6906528 7338186 9208704 9784248 10359792 11007279 13045664 13813056 14676372 19568496 20719584 22014558 26091328 27626112 29352744 39136992 41439168 44029116 52182656 58705488 78273984 82878336 88058232 117410976 156547968 176116464 234821952 352232928 469643904 704465856 1408931712