Search a number
-
+
94954944 = 2637210093
BaseRepresentation
bin1011010100011…
…10010111000000
320121200012200210
411222032113000
5143302024234
613231114120
72232050400
oct552162700
9217605623
1094954944
1149666067
1227972940
1316898376
14c87a800
158509be9
hex5a8e5c0

94954944 has 84 divisors (see below), whose sum is σ = 292281864. Its totient is φ = 27127296.

The previous prime is 94954927. The next prime is 94954967. The reversal of 94954944 is 44945949.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 94954893 and 94954902.

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, 4362 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (3479546).

Almost surely, 294954944 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 94954944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146140932).

94954944 is an abundant number, since it is smaller than the sum of its proper divisors (197326920).

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

94954944 is a wasteful number, since it uses less digits than its factorization.

94954944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10122 (or 10105 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 94954944 is about 9744.4827466623. The cubic root of 94954944 is about 456.2181166436.

The spelling of 94954944 in words is "ninety-four million, nine hundred fifty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 10093 20186 30279 40372 60558 70651 80744 121116 141302 161488 211953 242232 282604 322976 423906 484464 494557 565208 645952 847812 968928 989114 1130416 1483671 1695624 1937856 1978228 2260832 2967342 3391248 3956456 4521664 5934684 6782496 7912912 11869368 13564992 15825824 23738736 31651648 47477472 94954944