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94149396 = 2232112310337
BaseRepresentation
bin1011001110010…
…01101100010100
320120011021200200
411213021230110
5143100240041
613201540500
72222154015
oct547115424
9216137620
1094149396
1149165920
1227644730
1316675803
14c70b00c
1583eb1b6
hex59c9b14

94149396 has 72 divisors (see below), whose sum is σ = 270938304. Its totient is φ = 27287040.

The previous prime is 94149371. The next prime is 94149409. The reversal of 94149396 is 69394149.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3940 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (3763032).

Almost surely, 294149396 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 94149396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135469152).

94149396 is an abundant number, since it is smaller than the sum of its proper divisors (176788908).

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

94149396 is a wasteful number, since it uses less digits than its factorization.

94149396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10376 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 94149396 is about 9703.0611664567. The cubic root of 94149396 is about 454.9243459933.

The spelling of 94149396 in words is "ninety-four million, one hundred forty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 9108 10337 20674 31011 41348 62022 93033 113707 124044 186066 227414 237751 341121 372132 454828 475502 682242 713253 951004 1023363 1364484 1426506 2046726 2139759 2615261 2853012 4093452 4279518 5230522 7845783 8559036 10461044 15691566 23537349 31383132 47074698 94149396