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1392148032 = 263115312437
BaseRepresentation
bin101001011111010…
…0111111001000000
310121000120110002020
41102332213321000
510322342214112
6350050321440
746333030422
oct12276477100
93530513066
101392148032
11654916470
1232a289280
1319255c842
14d2c6a812
158234348c
hex52fa7e40

1392148032 has 112 divisors (see below), whose sum is σ = 4094390592. Its totient is φ = 413870080.

The previous prime is 1392148027. The next prime is 1392148061. The reversal of 1392148032 is 2308412931.

1392148032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13921480322 = 3876152286002946048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1392147984 and 1392148002.

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, 105718 + ... + 118154.

Almost surely, 21392148032 is an apocalyptic number.

1392148032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 37311×37312.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1392148032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047195296).

1392148032 is an abundant number, since it is smaller than the sum of its proper divisors (2702242560).

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

1392148032 is a wasteful number, since it uses less digits than its factorization.

1392148032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12516 (or 12506 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1392148032 is about 37311.4999966498. The cubic root of 1392148032 is about 1116.5936128442.

The spelling of 1392148032 in words is "one billion, three hundred ninety-two million, one hundred forty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 704 848 1056 1166 1272 1696 1749 2112 2332 2544 3392 3498 4664 5088 6996 9328 10176 12437 13992 18656 24874 27984 37311 37312 49748 55968 74622 99496 111936 136807 149244 198992 273614 298488 397984 410421 547228 596976 659161 795968 820842 1094456 1193952 1318322 1641684 1977483 2188912 2387904 2636644 3283368 3954966 4377824 5273288 6566736 7250771 7909932 8755648 10546576 13133472 14501542 15819864 21093152 21752313 26266944 29003084 31639728 42186304 43504626 58006168 63279456 87009252 116012336 126558912 174018504 232024672 348037008 464049344 696074016 1392148032