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96968250 = 2325371607
BaseRepresentation
bin1011100011110…
…01111000111010
320202110111102200
411301321320322
5144310441000
613342211030
72255134161
oct561717072
9222414380
1096968250
114a810755
1228583a76
1317121882
14cc423d8
1587a6500
hex5c79e3a

96968250 has 96 divisors (see below), whose sum is σ = 266333184. Its totient is φ = 25452000.

The previous prime is 96968237. The next prime is 96968251. The reversal of 96968250 is 5286969.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 96968196 and 96968205.

It is not an unprimeable number, because it can be changed into a prime (96968251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159447 + ... + 160053.

It is an arithmetic number, because the mean of its divisors is an integer number (2774304).

Almost surely, 296968250 is an apocalyptic number.

96968250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96968250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133166592).

96968250 is an abundant number, since it is smaller than the sum of its proper divisors (169364934).

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

96968250 is a wasteful number, since it uses less digits than its factorization.

96968250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 96968250 is about 9847.2458078389. The cubic root of 96968250 is about 459.4199525634.

The spelling of 96968250 in words is "ninety-six million, nine hundred sixty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 71 75 90 125 142 150 213 225 250 355 375 426 450 607 639 710 750 1065 1125 1214 1278 1775 1821 2130 2250 3035 3195 3550 3642 5325 5463 6070 6390 8875 9105 10650 10926 15175 15975 17750 18210 26625 27315 30350 31950 43097 45525 53250 54630 75875 79875 86194 91050 129291 136575 151750 159750 215485 227625 258582 273150 387873 430970 455250 646455 682875 775746 1077425 1292910 1365750 1939365 2154850 3232275 3878730 5387125 6464550 9696825 10774250 16161375 19393650 32322750 48484125 96968250