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52888416 = 2537211373
BaseRepresentation
bin1100100111000…
…0001101100000
310200112000021020
43021300031200
5102014412131
65125325440
71211354430
oct311601540
9120460236
1052888416
1127943939
1215866880
13ac5a029
14704a2c0
15499a996
hex3270360

52888416 has 96 divisors (see below), whose sum is σ = 159844608. Its totient is φ = 14999040.

The previous prime is 52888391. The next prime is 52888417. The reversal of 52888416 is 61488825.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52888417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141606 + ... + 141978.

It is an arithmetic number, because the mean of its divisors is an integer number (1665048).

Almost surely, 252888416 is an apocalyptic number.

52888416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52888416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79922304).

52888416 is an abundant number, since it is smaller than the sum of its proper divisors (106956192).

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

52888416 is a wasteful number, since it uses less digits than its factorization.

52888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 596 counting only the distinct ones).

The product of its digits is 122880, while the sum is 42.

The square root of 52888416 is about 7272.4422307778. The cubic root of 52888416 is about 375.3647792701.

The spelling of 52888416 in words is "fifty-two million, eight hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 211 224 336 373 422 633 672 746 844 1119 1266 1477 1492 1688 2238 2532 2611 2954 2984 3376 4431 4476 5064 5222 5908 5968 6752 7833 8862 8952 10128 10444 11816 11936 15666 17724 17904 20256 20888 23632 31332 35448 35808 41776 47264 62664 70896 78703 83552 125328 141792 157406 236109 250656 314812 472218 550921 629624 944436 1101842 1259248 1652763 1888872 2203684 2518496 3305526 3777744 4407368 6611052 7555488 8814736 13222104 17629472 26444208 52888416