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2525124192 = 253298631051
BaseRepresentation
bin1001011010000010…
…0101011001100000
320111222110121012020
42112200211121200
520132412433232
61054322101440
7116401126053
oct22640453140
96458417166
102525124192
1110864041a8
125a57aa880
133131b8036
1419d510a9a
15eba3ee2c
hex96825660

2525124192 has 96 divisors (see below), whose sum is σ = 6871495680. Its totient is φ = 810969600.

The previous prime is 2525124083. The next prime is 2525124211. The reversal of 2525124192 is 2914215252.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2402067 + ... + 2403117.

It is an arithmetic number, because the mean of its divisors is an integer number (71578080).

Almost surely, 22525124192 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 2525124192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435747840).

2525124192 is an abundant number, since it is smaller than the sum of its proper divisors (4346371488).

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

2525124192 is a wasteful number, since it uses less digits than its factorization.

2525124192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1948 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 2525124192 is about 50250.6138469969. The cubic root of 2525124192 is about 1361.7401657600.

The spelling of 2525124192 in words is "two billion, five hundred twenty-five million, one hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 863 928 1051 1392 1726 2102 2589 2784 3153 3452 4204 5178 6306 6904 8408 10356 12612 13808 16816 20712 25027 25224 27616 30479 33632 41424 50054 50448 60958 75081 82848 91437 100108 100896 121916 150162 182874 200216 243832 300324 365748 400432 487664 600648 731496 800864 907013 975328 1201296 1462992 1814026 2402592 2721039 2925984 3628052 5442078 7256104 10884156 14512208 21768312 26303377 29024416 43536624 52606754 78910131 87073248 105213508 157820262 210427016 315640524 420854032 631281048 841708064 1262562096 2525124192