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153195008 = 295472
BaseRepresentation
bin10010010000110…
…01001000000000
3101200021010001012
421020121020000
5303204220013
623111300052
73540064451
oct1110311000
9350233035
10153195008
117952474a
124337a628
132597a245
14164bb128
15d6b11a8
hex9219200

153195008 has 30 divisors (see below), whose sum is σ = 306651411. Its totient is φ = 76457472.

The previous prime is 153194999. The next prime is 153195011. The reversal of 153195008 is 800591351.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 76597504 + 76597504 = 8752^2 + 8752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8752.

It is a super-2 number, since 2×1531950082 = 46937420952240128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 279791 + ... + 280337.

Almost surely, 2153195008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153195008

153195008 is an abundant number, since it is smaller than the sum of its proper divisors (153456403).

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

153195008 is an frugal number, since it uses more digits than its factorization.

153195008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 153195008 is about 12377.1970978893. The cubic root of 153195008 is about 535.0752600329.

Multiplying 153195008 by its sum of digits (32), we get a square (4902240256 = 700162).

153195008 divided by its sum of digits (32) gives a square (4787344 = 21882).

The spelling of 153195008 in words is "one hundred fifty-three million, one hundred ninety-five thousand, eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 547 1094 2188 4376 8752 17504 35008 70016 140032 280064 299209 598418 1196836 2393672 4787344 9574688 19149376 38298752 76597504 153195008