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153909492 = 223113731513
BaseRepresentation
bin10010010110001…
…11100011110100
3101201121102010120
421023013203310
5303400100432
623134451540
73546131502
oct1113074364
9351542116
10153909492
1179972530
1243663bb0
1325b6a509
1416625672
15d7a2c2c
hex92c78f4

153909492 has 48 divisors (see below), whose sum is σ = 402370752. Its totient is φ = 45377280.

The previous prime is 153909461. The next prime is 153909493. The reversal of 153909492 is 294909351.

153909492 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 (153909493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10873 + ... + 20640.

It is an arithmetic number, because the mean of its divisors is an integer number (8382724).

Almost surely, 2153909492 is an apocalyptic number.

153909492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

153909492 is an abundant number, since it is smaller than the sum of its proper divisors (248461260).

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

153909492 is a wasteful number, since it uses less digits than its factorization.

153909492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31568 (or 31566 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 153909492 is about 12406.0264387918. The cubic root of 153909492 is about 535.9058134422.

The spelling of 153909492 in words is "one hundred fifty-three million, nine hundred nine thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 31513 63026 94539 126052 189078 346643 378156 693286 1039929 1165981 1386572 2079858 2331962 3497943 4159716 4663924 6995886 12825791 13991772 25651582 38477373 51303164 76954746 153909492