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98609472 = 26321321013
BaseRepresentation
bin1011110000010…
…10100101000000
320212112212202200
411320022211000
5200221000342
613441313200
72305111113
oct570124500
9225485680
1098609472
1150731835
1229035800
1317577900
14d14c57a
1589cc94c
hex5e0a940

98609472 has 126 divisors (see below), whose sum is σ = 306362862. Its totient is φ = 30311424.

The previous prime is 98609471. The next prime is 98609479. The reversal of 98609472 is 27490689.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12787776 + 85821696 = 3576^2 + 9264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98609471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 96838 + ... + 97850.

Almost surely, 298609472 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 98609472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153181431).

98609472 is an abundant number, since it is smaller than the sum of its proper divisors (207753390).

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

98609472 is a wasteful number, since it uses less digits than its factorization.

98609472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 98609472 is about 9930.2302088119. The cubic root of 98609472 is about 461.9974138271.

The spelling of 98609472 in words is "ninety-eight million, six hundred nine thousand, four 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 96 104 117 144 156 169 192 208 234 288 312 338 416 468 507 576 624 676 832 936 1013 1014 1248 1352 1521 1872 2026 2028 2496 2704 3039 3042 3744 4052 4056 5408 6078 6084 7488 8104 8112 9117 10816 12156 12168 13169 16208 16224 18234 24312 24336 26338 32416 32448 36468 39507 48624 48672 52676 64832 72936 79014 97248 97344 105352 118521 145872 158028 171197 194496 210704 237042 291744 316056 342394 421408 474084 513591 583488 632112 684788 842816 948168 1027182 1264224 1369576 1540773 1896336 2054364 2528448 2739152 3081546 3792672 4108728 5478304 6163092 7585344 8217456 10956608 12326184 16434912 24652368 32869824 49304736 98609472