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1378052352 = 283466457
BaseRepresentation
bin101001000100011…
…0110100100000000
310120001001022110000
41102020312210000
510310240133402
6344424240000
746102152225
oct12210664400
93501038400
101378052352
11647969146
12325610000
1318c6659c1
14d103b94c
1580eabc1c
hex52236900

1378052352 has 90 divisors (see below), whose sum is σ = 4109164598. Its totient is φ = 459343872.

The previous prime is 1378052341. The next prime is 1378052371. The reversal of 1378052352 is 2532508731.

It is a happy number.

1378052352 is a `hidden beast` number, since 1 + 3 + 7 + 80 + 523 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 994519296 + 383533056 = 31536^2 + 19584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12493 + ... + 53964.

Almost surely, 21378052352 is an apocalyptic number.

1378052352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1378052352 is an abundant number, since it is smaller than the sum of its proper divisors (2731112246).

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

1378052352 is an frugal number, since it uses more digits than its factorization.

1378052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66485 (or 66462 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1378052352 is about 37122.1275252376. The cubic root of 1378052352 is about 1112.8122699044.

The spelling of 1378052352 in words is "one billion, three hundred seventy-eight million, fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 66457 132914 199371 265828 398742 531656 598113 797484 1063312 1196226 1594968 1794339 2126624 2392452 3189936 3588678 4253248 4784904 5383017 6379872 7177356 8506496 9569808 10766034 12759744 14354712 17012992 19139616 21532068 25519488 28709424 38279232 43064136 51038976 57418848 76558464 86128272 114837696 153116928 172256544 229675392 344513088 459350784 689026176 1378052352