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1352142372 = 2237191794733
BaseRepresentation
bin101000010011000…
…0000111000100100
310111020021221122010
41100212000320210
510232122023442
6342101034220
745336010020
oct12046007044
93436257563
101352142372
11634281639
123189b5970
13187193559
14cb815380
157da8eb9c
hex50980e24

1352142372 has 96 divisors (see below), whose sum is σ = 3817497600. Its totient is φ = 363871872.

The previous prime is 1352142361. The next prime is 1352142431. The reversal of 1352142372 is 2732412531.

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, 283318 + ... + 288050.

It is an arithmetic number, because the mean of its divisors is an integer number (39765600).

Almost surely, 21352142372 is an apocalyptic number.

1352142372 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 1352142372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908748800).

1352142372 is an abundant number, since it is smaller than the sum of its proper divisors (2465355228).

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

1352142372 is a wasteful number, since it uses less digits than its factorization.

1352142372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4943 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 1352142372 is about 36771.4885747096. The cubic root of 1352142372 is about 1105.7937751174.

The spelling of 1352142372 in words is "one billion, three hundred fifty-two million, one hundred forty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 179 228 266 358 399 532 537 716 798 1074 1253 1596 2148 2506 3401 3759 4733 5012 6802 7518 9466 10203 13604 14199 15036 18932 20406 23807 28398 33131 40812 47614 56796 66262 71421 89927 95228 99393 132524 142842 179854 198786 269781 285684 359708 397572 539562 629489 847207 1079124 1258978 1694414 1888467 2517956 2541621 3388828 3776934 5083242 5930449 7553868 10166484 11860898 16096933 17791347 23721796 32193866 35582694 48290799 64387732 71165388 96581598 112678531 193163196 225357062 338035593 450714124 676071186 1352142372