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1407995472 = 243132922683
BaseRepresentation
bin101001111101100…
…0100111001010000
310122010101120200110
41103323010321100
510340421323342
6351414121320
746614523032
oct12373047120
93563346613
101407995472
1166285a924
12333650240
1319591ab20
14d4dd3c52
1583923c9c
hex53ec4e50

1407995472 has 120 divisors (see below), whose sum is σ = 4058358304. Its totient is φ = 418134528.

The previous prime is 1407995461. The next prime is 1407995507. The reversal of 1407995472 is 2745997041.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523443 + ... + 526125.

Almost surely, 21407995472 is an apocalyptic number.

1407995472 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 1407995472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2029179152).

1407995472 is an abundant number, since it is smaller than the sum of its proper divisors (2650362832).

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

1407995472 is a wasteful number, since it uses less digits than its factorization.

1407995472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 1407995472 is about 37523.2657427362. The cubic root of 1407995472 is about 1120.8145307804.

The spelling of 1407995472 in words is "one billion, four hundred seven million, nine hundred ninety-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 624 696 754 841 1131 1392 1508 1682 2262 2523 2683 3016 3364 4524 5046 5366 6032 6728 8049 9048 10092 10732 10933 13456 16098 18096 20184 21464 21866 32196 32799 34879 40368 42928 43732 64392 65598 69758 77807 87464 104637 128784 131196 139516 155614 174928 209274 233421 262392 279032 311228 418548 466842 524784 558064 622456 837096 933684 1011491 1244912 1674192 1867368 2022982 2256403 3034473 3734736 4045964 4512806 6068946 6769209 8091928 9025612 12137892 13538418 16183856 18051224 24275784 27076836 29333239 36102448 48551568 54153672 58666478 87999717 108307344 117332956 175999434 234665912 351998868 469331824 703997736 1407995472