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2525072148 = 2232678312613
BaseRepresentation
bin1001011010000001…
…1000101100010100
320111222100221210200
42112200120230110
520132404302043
61054321020500
7116400521244
oct22640305424
96458327720
102525072148
111086379095
125a5784730
1331319a441
1419d4d9b24
15eba2e7d3
hex96818b14

2525072148 has 72 divisors (see below), whose sum is σ = 6556656288. Its totient is φ = 819073728.

The previous prime is 2525072131. The next prime is 2525072149. The reversal of 2525072148 is 8412705252.

It is a happy number.

2525072148 is a `hidden beast` number, since 2 + 5 + 2 + 507 + 2 + 148 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525072149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193890 + ... + 206502.

Almost surely, 22525072148 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 2525072148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278328144).

2525072148 is an abundant number, since it is smaller than the sum of its proper divisors (4031584140).

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

2525072148 is a wasteful number, since it uses less digits than its factorization.

2525072148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12773 (or 12768 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2525072148 is about 50250.0959999083. The cubic root of 2525072148 is about 1361.7308103268.

The spelling of 2525072148 in words is "two billion, five hundred twenty-five million, seventy-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 67 83 134 166 201 249 268 332 402 498 603 747 804 996 1206 1494 2412 2988 5561 11122 12613 16683 22244 25226 33366 37839 50049 50452 66732 75678 100098 113517 151356 200196 227034 454068 845071 1046879 1690142 2093758 2535213 3140637 3380284 4187516 5070426 6281274 7605639 9421911 10140852 12562548 15211278 18843822 30422556 37687644 70140893 140281786 210422679 280563572 420845358 631268037 841690716 1262536074 2525072148