Search a number
-
+
90572352 = 26313131277
BaseRepresentation
bin1010110011000…
…00011001000000
320022102112220120
411121200121000
5141141303402
612553140240
72146565223
oct531403100
9208375816
1090572352
1147142392
12263ba680
13159c2610
14c0595ba
157e413bc
hex5660640

90572352 has 112 divisors (see below), whose sum is σ = 260981952. Its totient is φ = 27555840.

The previous prime is 90572327. The next prime is 90572369. The reversal of 90572352 is 25327509.

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, 326838 + ... + 327114.

It is an arithmetic number, because the mean of its divisors is an integer number (2330196).

Almost surely, 290572352 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 90572352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130490976).

90572352 is an abundant number, since it is smaller than the sum of its proper divisors (170409600).

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

90572352 is a wasteful number, since it uses less digits than its factorization.

90572352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 90572352 is about 9516.9507721749. The cubic root of 90572352 is about 449.0884460926.

The spelling of 90572352 in words is "ninety million, five hundred seventy-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 131 156 192 208 262 277 312 393 416 524 554 624 786 831 832 1048 1108 1248 1572 1662 1703 2096 2216 2496 3144 3324 3406 3601 4192 4432 5109 6288 6648 6812 7202 8384 8864 10218 10803 12576 13296 13624 14404 17728 20436 21606 25152 26592 27248 28808 36287 40872 43212 53184 54496 57616 72574 81744 86424 108861 108992 115232 145148 163488 172848 217722 230464 290296 326976 345696 435444 471731 580592 691392 870888 943462 1161184 1415193 1741776 1886924 2322368 2830386 3483552 3773848 5660772 6967104 7547696 11321544 15095392 22643088 30190784 45286176 90572352