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152833440 = 2535318403
BaseRepresentation
bin10010001110000…
…00110110100000
3101122120202001210
421013000312200
5303111132230
623055430120
73534030354
oct1107006640
9348522053
10152833440
11792a8031
1243225340
13258817b6
1416425464
15d63deb0
hex91c0da0

152833440 has 48 divisors (see below), whose sum is σ = 481426848. Its totient is φ = 40755456.

The previous prime is 152833433. The next prime is 152833453. The reversal of 152833440 is 44338251.

152833440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 152833398 and 152833407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158722 + ... + 159681.

It is an arithmetic number, because the mean of its divisors is an integer number (10029726).

Almost surely, 2152833440 is an apocalyptic number.

152833440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152833440 is an abundant number, since it is smaller than the sum of its proper divisors (328593408).

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

152833440 is a wasteful number, since it uses less digits than its factorization.

152833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318421 (or 318413 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 152833440 is about 12362.5822545292. The cubic root of 152833440 is about 534.6539702031.

The spelling of 152833440 in words is "one hundred fifty-two million, eight hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 318403 636806 955209 1273612 1592015 1910418 2547224 3184030 3820836 4776045 5094448 6368060 7641672 9552090 10188896 12736120 15283344 19104180 25472240 30566688 38208360 50944480 76416720 152833440