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98037492 = 22371925361
BaseRepresentation
bin1011101011111…
…10111011110100
320211110211011020
411311332323310
5200044144432
613421141140
72300206410
oct565767364
9224424136
1098037492
1150381023
12289ba7b0
1317407467
14d03dd40
15891822c
hex5d7eef4

98037492 has 144 divisors (see below), whose sum is σ = 285731712. Its totient is φ = 25608960.

The previous prime is 98037427. The next prime is 98037497. The reversal of 98037492 is 29473089.

It is a super-2 number, since 2×980374922 = 19222699675300128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98037497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1607142 + ... + 1607202.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 298037492 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 98037492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142865856).

98037492 is an abundant number, since it is smaller than the sum of its proper divisors (187694220).

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

98037492 is a wasteful number, since it uses less digits than its factorization.

98037492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 98037492 is about 9901.3883874939. The cubic root of 98037492 is about 461.1024157498.

The spelling of 98037492 in words is "ninety-eight million, thirty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 53 57 61 76 84 106 114 122 133 159 183 212 228 244 266 318 361 366 371 399 427 532 636 722 732 742 798 854 1007 1083 1113 1159 1281 1444 1484 1596 1708 2014 2166 2226 2318 2527 2562 3021 3233 3477 4028 4332 4452 4636 5054 5124 6042 6466 6954 7049 7581 8113 9699 10108 12084 12932 13908 14098 15162 16226 19133 19398 21147 22021 22631 24339 28196 30324 32452 38266 38796 42294 44042 45262 48678 57399 61427 66063 67893 76532 84588 88084 90524 97356 114798 122854 132126 133931 135786 154147 184281 229596 245708 264252 267862 271572 308294 368562 401793 429989 462441 535724 616588 737124 803586 859978 924882 1167113 1289967 1607172 1719956 1849764 2334226 2579934 3501339 4668452 5159868 7002678 8169791 14005356 16339582 24509373 32679164 49018746 98037492