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153079992 = 233213672441
BaseRepresentation
bin10010001111111…
…01000010111000
3101200001021021100
421013331002320
5303142024432
623105011400
73536105232
oct1107750270
9350037240
10153079992
117945629a
1243323b60
1325939aa0
141648b252
15d68c07c
hex91fd0b8

153079992 has 96 divisors (see below), whose sum is σ = 453332880. Its totient is φ = 46379520.

The previous prime is 153079991. The next prime is 153079999. The reversal of 153079992 is 299970351.

It is a happy number.

153079992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153079991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61492 + ... + 63932.

Almost surely, 2153079992 is an apocalyptic number.

153079992 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 153079992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226666440).

153079992 is an abundant number, since it is smaller than the sum of its proper divisors (300252888).

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

153079992 is a wasteful number, since it uses less digits than its factorization.

153079992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2526 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 153079992 is about 12372.5499392809. The cubic root of 153079992 is about 534.9413182791.

The spelling of 153079992 in words is "one hundred fifty-three million, seventy-nine thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 2412 2441 2613 3484 4824 4882 5226 6968 7323 7839 9764 10452 14646 15678 19528 20904 21969 29292 31356 31733 43938 58584 62712 63466 87876 95199 126932 163547 175752 190398 253864 285597 327094 380796 490641 571194 654188 761592 981282 1142388 1308376 1471923 1962564 2126111 2284776 2943846 3925128 4252222 5887692 6378333 8504444 11775384 12756666 17008888 19134999 25513332 38269998 51026664 76539996 153079992