Search a number
-
+
97947480 = 23351276427
BaseRepresentation
bin1011101011010…
…00111101011000
320211022020200110
411311220331120
5200033304410
613415204320
72266353111
oct565507530
9224266613
1097947480
115031a434
12289766a0
13173a54b7
14d019208
1588eb720
hex5d68f58

97947480 has 64 divisors (see below), whose sum is σ = 296202240. Its totient is φ = 25909632.

The previous prime is 97947469. The next prime is 97947497. The reversal of 97947480 is 8474979.

It is a happy number.

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, 12027 + ... + 18453.

It is an arithmetic number, because the mean of its divisors is an integer number (4628160).

Almost surely, 297947480 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 97947480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148101120).

97947480 is an abundant number, since it is smaller than the sum of its proper divisors (198254760).

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

97947480 is a wasteful number, since it uses less digits than its factorization.

97947480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6568 (or 6564 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 97947480 is about 9896.8419205320. The cubic root of 97947480 is about 460.9612539056.

The spelling of 97947480 in words is "ninety-seven million, nine hundred forty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 6427 7620 12854 15240 19281 25708 32135 38562 51416 64270 77124 96405 128540 154248 192810 257080 385620 771240 816229 1632458 2448687 3264916 4081145 4897374 6529832 8162290 9794748 12243435 16324580 19589496 24486870 32649160 48973740 97947480