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97040416 = 2511318893
BaseRepresentation
bin1011100100010…
…11100000100000
320202121011102111
411302023200200
5144320243131
613343525104
72255554444
oct562134040
9222534374
1097040416
114a85a9a0
12285b9794
1317148685
14cc60824
1587bcab1
hex5c8b820

97040416 has 48 divisors (see below), whose sum is σ = 215163648. Its totient is φ = 42681600.

The previous prime is 97040413. The next prime is 97040423. The reversal of 97040416 is 61404079.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97040413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6466 + ... + 15358.

It is an arithmetic number, because the mean of its divisors is an integer number (4482576).

Almost surely, 297040416 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 97040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107581824).

97040416 is an abundant number, since it is smaller than the sum of its proper divisors (118123232).

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

97040416 is a wasteful number, since it uses less digits than its factorization.

97040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945 (or 8937 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 97040416 is about 9850.9093996443. The cubic root of 97040416 is about 459.5338945974.

The spelling of 97040416 in words is "ninety-seven million, forty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 5456 8893 10912 17786 35572 71144 97823 142288 195646 275683 284576 391292 551366 782584 1102732 1565168 2205464 3032513 3130336 4410928 6065026 8821856 12130052 24260104 48520208 97040416