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98235072 = 2633134373
BaseRepresentation
bin1011101101011…
…11001011000000
320211211212012000
411312233023000
5200122010242
613425304000
72301661425
oct566571300
9224755160
1098235072
11504a6511
1228a95000
1317476380
14d091d4c
158956a4c
hex5daf2c0

98235072 has 112 divisors (see below), whose sum is σ = 311078880. Its totient is φ = 30219264.

The previous prime is 98235041. The next prime is 98235077. The reversal of 98235072 is 27053289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98235077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20278 + ... + 24650.

It is an arithmetic number, because the mean of its divisors is an integer number (2777490).

Almost surely, 298235072 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 98235072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155539440).

98235072 is an abundant number, since it is smaller than the sum of its proper divisors (212843808).

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

98235072 is a wasteful number, since it uses less digits than its factorization.

98235072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407 (or 4391 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 98235072 is about 9911.3607542052. The cubic root of 98235072 is about 461.4119690280.

The spelling of 98235072 in words is "ninety-eight million, two hundred thirty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 144 156 192 208 216 234 288 312 351 416 432 468 576 624 702 832 864 936 1248 1404 1728 1872 2496 2808 3744 4373 5616 7488 8746 11232 13119 17492 22464 26238 34984 39357 52476 56849 69968 78714 104952 113698 118071 139936 157428 170547 209904 227396 236142 279872 314856 341094 419808 454792 472284 511641 629712 682188 839616 909584 944568 1023282 1259424 1364376 1534923 1819168 1889136 2046564 2518848 2728752 3069846 3638336 3778272 4093128 5457504 6139692 7556544 8186256 10915008 12279384 16372512 24558768 32745024 49117536 98235072