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97488480 = 2535832447
BaseRepresentation
bin1011100111110…
…00111001100000
320210102221001110
411303320321200
5144424112410
613401303320
72262431655
oct563707140
9223387043
1097488480
11500365a1
1228794b40
13172745bb
14cd39c2c
15885a720
hex5cf8e60

97488480 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 25673216.

The previous prime is 97488463. The next prime is 97488499. The reversal of 97488480 is 8488479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 38617 + ... + 41063.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 297488480 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 97488480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

97488480 is an abundant number, since it is smaller than the sum of its proper divisors (213427104).

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

97488480 is a wasteful number, since it uses less digits than its factorization.

97488480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2548 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 97488480 is about 9873.6254739584. The cubic root of 97488480 is about 460.2400763195.

The spelling of 97488480 in words is "ninety-seven million, four hundred eighty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2447 2490 2656 3320 3984 4894 4980 6640 7341 7968 9788 9960 12235 13280 14682 19576 19920 24470 29364 36705 39152 39840 48940 58728 73410 78304 97880 117456 146820 195760 203101 234912 293640 391520 406202 587280 609303 812404 1015505 1174560 1218606 1624808 2031010 2437212 3046515 3249616 4062020 4874424 6093030 6499232 8124040 9748848 12186060 16248080 19497696 24372120 32496160 48744240 97488480