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2072493624 = 233255133851
BaseRepresentation
bin111101110000111…
…1011111000111000
312100102202120210010
41323201323320320
513221024243444
6541352421520
7102233622315
oct17341737070
95312676703
102072493624
11973961153
1249a0a78a0
132704a9bb6
14159369d0c
15c1e322b9
hex7b87be38

2072493624 has 32 divisors (see below), whose sum is σ = 5183418240. Its totient is φ = 690540000.

The previous prime is 2072493587. The next prime is 2072493641. The reversal of 2072493624 is 4263942702.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44299 + ... + 78149.

It is an arithmetic number, because the mean of its divisors is an integer number (161981820).

Almost surely, 22072493624 is an apocalyptic number.

2072493624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2072493624 is an abundant number, since it is smaller than the sum of its proper divisors (3110924616).

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

2072493624 is a wasteful number, since it uses less digits than its factorization.

2072493624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36411 (or 36407 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2072493624 is about 45524.6485324159. The cubic root of 2072493624 is about 1274.9634487023.

The spelling of 2072493624 in words is "two billion, seventy-two million, four hundred ninety-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 2551 5102 7653 10204 15306 20408 30612 33851 61224 67702 101553 135404 203106 270808 406212 812424 86353901 172707802 259061703 345415604 518123406 690831208 1036246812 2072493624