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153043992 = 23341032293
BaseRepresentation
bin10010001111101…
…00010000011000
3101122222102220000
421013310100120
5303134401432
623104133000
73535565253
oct1107642030
9348872800
10153043992
1179431242
1243307160
132592659a
141647c09a
15d68157c
hex91f4418

153043992 has 80 divisors (see below), whose sum is σ = 433015440. Its totient is φ = 50497344.

The previous prime is 153043973. The next prime is 153043999. The reversal of 153043992 is 299340351.

It is a happy number.

153043992 is a `hidden beast` number, since 1 + 530 + 4 + 39 + 92 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153043999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65598 + ... + 67890.

It is an arithmetic number, because the mean of its divisors is an integer number (5412693).

Almost surely, 2153043992 is an apocalyptic number.

153043992 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 153043992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216507720).

153043992 is an abundant number, since it is smaller than the sum of its proper divisors (279971448).

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

153043992 is a wasteful number, since it uses less digits than its factorization.

153043992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 153043992 is about 12371.0950202478. The cubic root of 153043992 is about 534.8993807338.

The spelling of 153043992 in words is "one hundred fifty-three million, forty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2293 2472 2781 3708 4586 5562 6879 7416 8343 9172 11124 13758 16686 18344 20637 22248 27516 33372 41274 55032 61911 66744 82548 123822 165096 185733 236179 247644 371466 472358 495288 708537 742932 944716 1417074 1485864 1889432 2125611 2834148 4251222 5668296 6376833 8502444 12753666 17004888 19130499 25507332 38260998 51014664 76521996 153043992