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98047872 = 2732136547
BaseRepresentation
bin1011101100000…
…01011110000000
320211111100101200
411312001132000
5200100012442
613421301200
72300251566
oct566013600
9224440350
1098047872
11503888aa
1228a04800
131740c0c0
14d043a36
15891b34c
hex5d81780

98047872 has 96 divisors (see below), whose sum is σ = 303892680. Its totient is φ = 30163968.

The previous prime is 98047853. The next prime is 98047889. The reversal of 98047872 is 27874089.

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

It is a super-2 number, since 2×980478722 = 19226770407456768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11703 + ... + 18249.

Almost surely, 298047872 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 98047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151946340).

98047872 is an abundant number, since it is smaller than the sum of its proper divisors (205844808).

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

98047872 is a wasteful number, since it uses less digits than its factorization.

98047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 98047872 is about 9901.9125425344. The cubic root of 98047872 is about 461.1186886880.

The spelling of 98047872 in words is "ninety-eight million, forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 6547 7488 13094 14976 19641 26188 39282 52376 58923 78564 85111 104752 117846 157128 170222 209504 235692 255333 314256 340444 419008 471384 510666 628512 680888 765999 838016 942768 1021332 1257024 1361776 1531998 1885536 2042664 2514048 2723552 3063996 3771072 4085328 5447104 6127992 7542144 8170656 10894208 12255984 16341312 24511968 32682624 49023936 98047872