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102294248 = 23723431847
BaseRepresentation
bin1100001100011…
…10001011101000
321010111002022212
412012032023220
5202141403443
614052304252
72351325650
oct606161350
9233432285
10102294248
1152819201
122a312088
1318267b54
14d82b360
158ea9618
hex618e2e8

102294248 has 64 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 40936896.

The previous prime is 102294229. The next prime is 102294289. The reversal of 102294248 is 842492201.

It is a happy number.

It is a super-2 number, since 2×1022942482 = 20928226347771008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54461 + ... + 56307.

It is an arithmetic number, because the mean of its divisors is an integer number (3659040).

Almost surely, 2102294248 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 102294248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

102294248 is an abundant number, since it is smaller than the sum of its proper divisors (131884312).

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

102294248 is a wasteful number, since it uses less digits than its factorization.

102294248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 102294248 is about 10114.0618942144. The cubic root of 102294248 is about 467.6817301804.

The spelling of 102294248 in words is "one hundred two million, two hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 23 28 43 46 56 86 92 161 172 184 301 322 344 602 644 989 1204 1288 1847 1978 2408 3694 3956 6923 7388 7912 12929 13846 14776 25858 27692 42481 51716 55384 79421 84962 103432 158842 169924 297367 317684 339848 555947 594734 635368 1111894 1189468 1826683 2223788 2378936 3653366 4447576 7306732 12786781 14613464 25573562 51147124 102294248