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90976752 = 24321135591
BaseRepresentation
bin1010110110000…
…11000111110000
320100012002122100
411123003013300
5141242224002
613005540400
72153201226
oct533030760
9210162570
1090976752
11473991a9
1226574700
1315b046c9
14c122b16
157ec111c
hex56c31f0

90976752 has 60 divisors (see below), whose sum is σ = 256907664. Its totient is φ = 30051840.

The previous prime is 90976729. The next prime is 90976759. The reversal of 90976752 is 25767909.

It is a junction number, because it is equal to n+sod(n) for n = 90976698 and 90976707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90976759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13477 + ... + 19067.

Almost surely, 290976752 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 90976752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128453832).

90976752 is an abundant number, since it is smaller than the sum of its proper divisors (165930912).

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

90976752 is a wasteful number, since it uses less digits than its factorization.

90976752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5709 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 90976752 is about 9538.1734100403. The cubic root of 90976752 is about 449.7558379163.

The spelling of 90976752 in words is "ninety million, nine hundred seventy-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 4068 5424 5591 8136 11182 16272 16773 22364 33546 44728 50319 67092 89456 100638 134184 201276 268368 402552 631783 805104 1263566 1895349 2527132 3790698 5054264 5686047 7581396 10108528 11372094 15162792 22744188 30325584 45488376 90976752