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97419448 = 2372257967
BaseRepresentation
bin1011100111010…
…00000010111000
320210022102100201
411303220002320
5144414410243
613400011544
72262023500
oct563500270
9223272321
1097419448
114aa99745
1228760bb4
131724c059
14cd1ca00
15884504d
hex5ce80b8

97419448 has 48 divisors (see below), whose sum is σ = 213531120. Its totient is φ = 41545728.

The previous prime is 97419431. The next prime is 97419451. The reversal of 97419448 is 84491479.

It is a junction number, because it is equal to n+sod(n) for n = 97419398 and 97419407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100261 + ... + 101227.

It is an arithmetic number, because the mean of its divisors is an integer number (4448565).

Almost surely, 297419448 is an apocalyptic number.

97419448 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97419448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106765560).

97419448 is an abundant number, since it is smaller than the sum of its proper divisors (116111672).

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

97419448 is a wasteful number, since it uses less digits than its factorization.

97419448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1233 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 97419448 is about 9870.1290771702. The cubic root of 97419448 is about 460.1314180280.

The spelling of 97419448 in words is "ninety-seven million, four hundred nineteen thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 257 392 514 967 1028 1799 1934 2056 3598 3868 6769 7196 7736 12593 13538 14392 25186 27076 47383 50372 54152 94766 100744 189532 248519 379064 497038 994076 1739633 1988152 3479266 6958532 12177431 13917064 24354862 48709724 97419448