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97414812 = 2236113037
BaseRepresentation
bin1011100111001…
…10111010011100
320210022012000000
411303212322130
5144414233222
613355534300
72262004125
oct563467234
9223265000
1097414812
114aa96210
122875a390
1317249c01
14cd1b04c
1588439ac
hex5ce6e9c

97414812 has 84 divisors (see below), whose sum is σ = 278924856. Its totient is φ = 29509920.

The previous prime is 97414789. The next prime is 97414819. The reversal of 97414812 is 21841479.

It is a super-3 number, since 3×974148123 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97414819) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30558 + ... + 33594.

It is an arithmetic number, because the mean of its divisors is an integer number (3320534).

Almost surely, 297414812 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 97414812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139462428).

97414812 is an abundant number, since it is smaller than the sum of its proper divisors (181510044).

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

97414812 is a wasteful number, since it uses less digits than its factorization.

97414812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3053 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 97414812 is about 9869.8942243572. The cubic root of 97414812 is about 460.1241189957.

The spelling of 97414812 in words is "ninety-seven million, four hundred fourteen thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3037 3564 5346 6074 8019 9111 10692 12148 16038 18222 27333 32076 33407 36444 54666 66814 81999 100221 109332 133628 163998 200442 245997 300663 327996 400884 491994 601326 737991 901989 983988 1202652 1475982 1803978 2213973 2705967 2951964 3607956 4427946 5411934 8117901 8855892 10823868 16235802 24353703 32471604 48707406 97414812