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93974272 = 2872292
BaseRepresentation
bin1011001100111…
…10111100000000
320112211101110121
411212132330000
5143024134042
613154110024
72220524320
oct546367400
9215741417
1093974272
1149056297
122757b314
1316613ba2
14c6a3280
1583b4367
hex599ef00

93974272 has 54 divisors (see below), whose sum is σ = 215319048. Its totient is φ = 40098816.

The previous prime is 93974269. The next prime is 93974273. The reversal of 93974272 is 27247939.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93974273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 410254 + ... + 410482.

Almost surely, 293974272 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 93974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107659524).

93974272 is an abundant number, since it is smaller than the sum of its proper divisors (121344776).

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

93974272 is an frugal number, since it uses more digits than its factorization.

93974272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 238 counting only the distinct ones).

The product of its digits is 190512, while the sum is 43.

The square root of 93974272 is about 9694.0328037407. The cubic root of 93974272 is about 454.6421079700.

The spelling of 93974272 in words is "ninety-three million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 448 458 896 916 1603 1792 1832 3206 3664 6412 7328 12824 14656 25648 29312 51296 52441 58624 102592 104882 205184 209764 367087 410368 419528 734174 839056 1468348 1678112 2936696 3356224 5873392 6712448 11746784 13424896 23493568 46987136 93974272