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1427377152 = 21032292029
BaseRepresentation
bin101010100010100…
…0000110000000000
310200110212021100110
41111011000300000
510410402032102
6353345351320
750241335265
oct12505006000
93613767313
101427377152
11672798643
1233a038540
13199945986
14d77db26c
15854a186c
hex55140c00

1427377152 has 88 divisors (see below), whose sum is σ = 3822977200. Its totient is φ = 473481216.

The previous prime is 1427377151. The next prime is 1427377153. The reversal of 1427377152 is 2517737241.

It is an interprime number because it is at equal distance from previous prime (1427377151) and next prime (1427377153).

It is a super-2 number, since 2×14273771522 = 4074811068103262208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1427377152.

It is not an unprimeable number, because it can be changed into a prime (1427377151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 702474 + ... + 704502.

Almost surely, 21427377152 is an apocalyptic number.

1427377152 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 1427377152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911488600).

1427377152 is an abundant number, since it is smaller than the sum of its proper divisors (2395600048).

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

1427377152 is a wasteful number, since it uses less digits than its factorization.

1427377152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281 (or 2263 counting only the distinct ones).

The product of its digits is 82320, while the sum is 39.

The square root of 1427377152 is about 37780.6452035960. The cubic root of 1427377152 is about 1125.9339476054.

The spelling of 1427377152 in words is "one billion, four hundred twenty-seven million, three hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1024 1374 1536 1832 2029 2748 3072 3664 4058 5496 6087 7328 8116 10992 12174 14656 16232 21984 24348 29312 32464 43968 48696 58624 64928 87936 97392 117248 129856 175872 194784 234496 259712 351744 389568 464641 519424 703488 779136 929282 1038848 1393923 1558272 1858564 2077696 2787846 3116544 3717128 5575692 6233088 7434256 11151384 14868512 22302768 29737024 44605536 59474048 89211072 118948096 178422144 237896192 356844288 475792384 713688576 1427377152