Search a number
-
+
92968830 = 23351033343
BaseRepresentation
bin1011000101010…
…01011101111110
320110221022021000
411202221131332
5142300000310
613120351130
72206136103
oct542513576
9213838230
1092968830
1148529949
12271754a6
1316351356
14c4c0aaa
1582664c0
hex58a977e

92968830 has 64 divisors (see below), whose sum is σ = 250398720. Its totient is φ = 24543648.

The previous prime is 92968823. The next prime is 92968861. The reversal of 92968830 is 3886929.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26139 + ... + 29481.

It is an arithmetic number, because the mean of its divisors is an integer number (3912480).

Almost surely, 292968830 is an apocalyptic number.

92968830 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 92968830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125199360).

92968830 is an abundant number, since it is smaller than the sum of its proper divisors (157429890).

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

92968830 is a wasteful number, since it uses less digits than its factorization.

92968830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 92968830 is about 9642.0345363414. The cubic root of 92968830 is about 453.0148672810.

The spelling of 92968830 in words is "ninety-two million, nine hundred sixty-eight thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 103 135 206 270 309 515 618 927 1030 1545 1854 2781 3090 3343 4635 5562 6686 9270 10029 13905 16715 20058 27810 30087 33430 50145 60174 90261 100290 150435 180522 300870 344329 451305 688658 902610 1032987 1721645 2065974 3098961 3443290 5164935 6197922 9296883 10329870 15494805 18593766 30989610 46484415 92968830