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98032992 = 25323291531
BaseRepresentation
bin1011101011111…
…01110101100000
320211110120222120
411311331311200
5200044023432
613421104240
72300160321
oct565756540
9224416876
1098032992
1150378702
12289b8080
13174053b5
14d03c448
158916c2c
hex5d7dd60

98032992 has 96 divisors (see below), whose sum is σ = 277966080. Its totient is φ = 30159360.

The previous prime is 98032967. The next prime is 98033003. The reversal of 98032992 is 29923089.

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

It is a super-2 number, since 2×980329922 = 19220935040944128, which contains 22 as substring.

It is a congruent number.

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, 63267 + ... + 64797.

It is an arithmetic number, because the mean of its divisors is an integer number (2895480).

Almost surely, 298032992 is an apocalyptic number.

98032992 is a gapful number since it is divisible by the number (92) 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 98032992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138983040).

98032992 is an abundant number, since it is smaller than the sum of its proper divisors (179933088).

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

98032992 is a wasteful number, since it uses less digits than its factorization.

98032992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 98032992 is about 9901.1611440275. The cubic root of 98032992 is about 461.0953606508.

The spelling of 98032992 in words is "ninety-eight million, thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1531 2001 2208 2668 2784 3062 4002 4593 5336 6124 8004 9186 10672 12248 16008 18372 21344 24496 32016 35213 36744 44399 48992 64032 70426 73488 88798 105639 133197 140852 146976 177596 211278 266394 281704 355192 422556 532788 563408 710384 845112 1021177 1065576 1126816 1420768 1690224 2042354 2131152 3063531 3380448 4084708 4262304 6127062 8169416 12254124 16338832 24508248 32677664 49016496 98032992