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97678848 = 293193347
BaseRepresentation
bin1011101001001…
…11011000000000
320210210121012010
411310213120000
5200001210343
613405332520
72264153661
oct564473000
9223717163
1097678848
1150156623
1228867140
1317310147
14cd89368
158896d33
hex5d27600

97678848 has 80 divisors (see below), whose sum is σ = 274000320. Its totient is φ = 30836736.

The previous prime is 97678793. The next prime is 97678871. The reversal of 97678848 is 84887679.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27511 + ... + 30857.

It is an arithmetic number, because the mean of its divisors is an integer number (3425004).

Almost surely, 297678848 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 97678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137000160).

97678848 is an abundant number, since it is smaller than the sum of its proper divisors (176321472).

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

97678848 is a wasteful number, since it uses less digits than its factorization.

97678848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3371 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 97678848 is about 9883.2610002974. The cubic root of 97678848 is about 460.5394553345.

The spelling of 97678848 in words is "ninety-seven million, six hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3347 3648 4864 6694 7296 9728 10041 13388 14592 20082 26776 29184 40164 53552 63593 80328 107104 127186 160656 190779 214208 254372 321312 381558 428416 508744 642624 763116 856832 1017488 1285248 1526232 1713664 2034976 2570496 3052464 4069952 5140992 6104928 8139904 12209856 16279808 24419712 32559616 48839424 97678848