Search a number
-
+
990874944 = 2634191141
BaseRepresentation
bin111011000011111…
…000110101000000
32120001111122220000
4323003320311000
54012130444234
6242153520000
733361204143
oct7303706500
92501448800
10990874944
11469361014
12237a13000
1312a393947
149585405a
155becc899
hex3b0f8d40

990874944 has 70 divisors (see below), whose sum is σ = 2937279114. Its totient is φ = 330289920.

The previous prime is 990874939. The next prime is 990874949. The reversal of 990874944 is 449478099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (990874939) and next prime (990874949).

It can be written as a sum of positive squares in only one way, i.e., 958521600 + 32353344 = 30960^2 + 5688^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990874949) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90387 + ... + 100754.

Almost surely, 2990874944 is an apocalyptic number.

It is an amenable number.

990874944 is an abundant number, since it is smaller than the sum of its proper divisors (1946404170).

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

990874944 is a wasteful number, since it uses less digits than its factorization.

990874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191165 (or 191146 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 990874944 is about 31478.1661473473. The cubic root of 990874944 is about 996.9490156277.

The spelling of 990874944 in words is "nine hundred ninety million, eight hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 191141 382282 573423 764564 1146846 1529128 1720269 2293692 3058256 3440538 4587384 5160807 6116512 6881076 9174768 10321614 12233024 13762152 15482421 18349536 20643228 27524304 30964842 36699072 41286456 55048608 61929684 82572912 110097216 123859368 165145824 247718736 330291648 495437472 990874944