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52301952 = 273283547
BaseRepresentation
bin1100011110000…
…1000010000000
310122102012210100
43013201002000
5101342130302
65105002400
71203362553
oct307410200
9118365710
1052301952
112758325a
1215623400
13aab3101
146d3669a
1548d1d1c
hex31e1080

52301952 has 96 divisors (see below), whose sum is σ = 152596080. Its totient is φ = 17192448.

The previous prime is 52301923. The next prime is 52301959. The reversal of 52301952 is 25910325.

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

It is not an unprimeable number, because it can be changed into a prime (52301959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95343 + ... + 95889.

Almost surely, 252301952 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 52301952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76298040).

52301952 is an abundant number, since it is smaller than the sum of its proper divisors (100294128).

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

52301952 is a wasteful number, since it uses less digits than its factorization.

52301952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 52301952 is about 7232.0088495521. The cubic root of 52301952 is about 373.9721828186.

The spelling of 52301952 in words is "fifty-two million, three hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 288 332 384 498 547 576 664 747 996 1094 1152 1328 1494 1641 1992 2188 2656 2988 3282 3984 4376 4923 5312 5976 6564 7968 8752 9846 10624 11952 13128 15936 17504 19692 23904 26256 31872 35008 39384 45401 47808 52512 70016 78768 90802 95616 105024 136203 157536 181604 210048 272406 315072 363208 408609 544812 630144 726416 817218 1089624 1452832 1634436 2179248 2905664 3268872 4358496 5811328 6537744 8716992 13075488 17433984 26150976 52301952