Search a number
-
+
92970192 = 24371914563
BaseRepresentation
bin1011000101010…
…01110011010000
320110221101010110
411202221303100
5142300021232
613120401320
72206143060
oct542516320
9213841113
1092970192
114852a977
1227176240
1316351b63
14c4c13a0
158266acc
hex58a9cd0

92970192 has 80 divisors (see below), whose sum is σ = 288949760. Its totient is φ = 25163136.

The previous prime is 92970181. The next prime is 92970203. The reversal of 92970192 is 29107929.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (92970181) and next prime (92970203).

It is a self number, because there is not a number n which added to its sum of digits gives 92970192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 898 + ... + 13665.

It is an arithmetic number, because the mean of its divisors is an integer number (3611872).

Almost surely, 292970192 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 92970192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144474880).

92970192 is an abundant number, since it is smaller than the sum of its proper divisors (195979568).

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

92970192 is a wasteful number, since it uses less digits than its factorization.

92970192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14600 (or 14594 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 92970192 is about 9642.1051643300. The cubic root of 92970192 is about 453.0170795036.

The spelling of 92970192 in words is "ninety-two million, nine hundred seventy thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 14563 29126 43689 58252 87378 101941 116504 174756 203882 233008 276697 305823 349512 407764 553394 611646 699024 815528 830091 1106788 1223292 1631056 1660182 1936879 2213576 2446584 3320364 3873758 4427152 4893168 5810637 6640728 7747516 11621274 13281456 15495032 23242548 30990064 46485096 92970192