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98492072 = 23723471627
BaseRepresentation
bin1011101111011…
…01111010101000
320212022220201112
411313231322220
5200203221242
613435005452
72304111620
oct567557250
9225286645
1098492072
1150661608
1228b99888
1317536343
14d11b880
1589a7c82
hex5dedea8

98492072 has 64 divisors (see below), whose sum is σ = 225054720. Its totient is φ = 39492288.

The previous prime is 98492041. The next prime is 98492083. The reversal of 98492072 is 27029489.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59723 + ... + 61349.

It is an arithmetic number, because the mean of its divisors is an integer number (3516480).

Almost surely, 298492072 is an apocalyptic number.

98492072 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 98492072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112527360).

98492072 is an abundant number, since it is smaller than the sum of its proper divisors (126562648).

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

98492072 is a wasteful number, since it uses less digits than its factorization.

98492072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 98492072 is about 9924.3172057326. The cubic root of 98492072 is about 461.8139965746.

The spelling of 98492072 in words is "ninety-eight million, four hundred ninety-two thousand, seventy-two".

Divisors: 1 2 4 7 8 14 23 28 46 47 56 92 94 161 184 188 322 329 376 644 658 1081 1288 1316 1627 2162 2632 3254 4324 6508 7567 8648 11389 13016 15134 22778 30268 37421 45556 60536 74842 76469 91112 149684 152938 261947 299368 305876 523894 535283 611752 1047788 1070566 1758787 2095576 2141132 3517574 4282264 7035148 12311509 14070296 24623018 49246036 98492072