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48233088 = 2732149281
BaseRepresentation
bin1011011111111…
…1101010000000
310100202111100200
42313333222000
544321424323
64441445200
71123655151
oct267775200
9110674320
1048233088
1125254262
12141a0800
139cba0b7
146597928
15437b443
hex2dffa80

48233088 has 96 divisors (see below), whose sum is σ = 140224500. Its totient is φ = 15912960.

The previous prime is 48233083. The next prime is 48233113. The reversal of 48233088 is 88033284.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 47444544 + 788544 = 6888^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (48233083) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171508 + ... + 171788.

Almost surely, 248233088 is an apocalyptic number.

48233088 is a gapful number since it is divisible by the number (48) 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 48233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70112250).

48233088 is an abundant number, since it is smaller than the sum of its proper divisors (91991412).

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

48233088 is a wasteful number, since it uses less digits than its factorization.

48233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48233088 is about 6945.0045356357. The cubic root of 48233088 is about 364.0114314326.

The spelling of 48233088 in words is "forty-eight million, two hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 149 192 281 288 298 384 447 562 576 596 843 894 1124 1152 1192 1341 1686 1788 2248 2384 2529 2682 3372 3576 4496 4768 5058 5364 6744 7152 8992 9536 10116 10728 13488 14304 17984 19072 20232 21456 26976 28608 35968 40464 41869 42912 53952 57216 80928 83738 85824 107904 125607 161856 167476 171648 251214 323712 334952 376821 502428 669904 753642 1004856 1339808 1507284 2009712 2679616 3014568 4019424 5359232 6029136 8038848 12058272 16077696 24116544 48233088