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1407377478 = 231367713793
BaseRepresentation
bin101001111100010…
…1110000001000110
310122002020011221210
41103320232001012
510340242034403
6351352552250
746606340223
oct12370560106
93562204853
101407377478
11662478591
123333b2686
13195762750
14d4cb294a
1583850b03
hex53e2e046

1407377478 has 64 divisors (see below), whose sum is σ = 3120671232. Its totient is φ = 420456960.

The previous prime is 1407377459. The next prime is 1407377507. The reversal of 1407377478 is 8747737041.

It is a happy number.

It is a super-2 number, since 2×14073774782 = 3961422731163280968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369150 + ... + 372942.

It is an arithmetic number, because the mean of its divisors is an integer number (48760488).

Almost surely, 21407377478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1407377478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560335616).

1407377478 is an abundant number, since it is smaller than the sum of its proper divisors (1713293754).

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

1407377478 is a wasteful number, since it uses less digits than its factorization.

1407377478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949.

The product of its (nonzero) digits is 921984, while the sum is 48.

The square root of 1407377478 is about 37515.0300279768. The cubic root of 1407377478 is about 1120.6505250400.

It can be divided in two parts, 1407 and 377478, that added together give a triangular number (378885 = T870).

The spelling of 1407377478 in words is "one billion, four hundred seven million, three hundred seventy-seven thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 13 26 39 67 71 78 134 142 201 213 402 426 871 923 1742 1846 2613 2769 3793 4757 5226 5538 7586 9514 11379 14271 22758 28542 49309 61841 98618 123682 147927 185523 254131 269303 295854 371046 508262 538606 762393 807909 1524786 1615818 3303703 3500939 6607406 7001878 9911109 10502817 18043301 19822218 21005634 36086602 54129903 108259806 234562913 469125826 703688739 1407377478