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98883136 = 261121132
BaseRepresentation
bin1011110010011…
…01011001000000
320220001210011101
411321031121000
5200303230021
613451224144
72310331012
oct571153100
9226053141
1098883136
11508a9400
1229148054
1317642341
14d1c01b2
158a33a91
hex5e4d640

98883136 has 63 divisors (see below), whose sum is σ = 217606753. Its totient is φ = 44549120.

The previous prime is 98883133. The next prime is 98883139. The reversal of 98883136 is 63138889.

The square root of 98883136 is 9944.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (98883133) and next prime (98883139).

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 97140736 = 1320^2 + 9856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (98883133) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 875016 + ... + 875128.

Almost surely, 298883136 is an apocalyptic number.

98883136 is the 9944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98883136

98883136 is an abundant number, since it is smaller than the sum of its proper divisors (118723617).

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

98883136 is a wasteful number, since it uses less digits than its factorization.

98883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 126 counting only the distinct ones).

The product of its digits is 248832, while the sum is 46.

The cubic root of 98883136 is about 462.4244021557.

The spelling of 98883136 in words is "ninety-eight million, eight hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 113 121 176 226 242 352 452 484 704 904 968 1243 1808 1936 2486 3616 3872 4972 7232 7744 9944 12769 13673 19888 25538 27346 39776 51076 54692 79552 102152 109384 140459 204304 218768 280918 408608 437536 561836 817216 875072 1123672 1545049 2247344 3090098 4494688 6180196 8989376 12360392 24720784 49441568 98883136