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2428752936 = 233593474943
BaseRepresentation
bin1001000011000011…
…1101010000101000
320021021010102200110
42100300331100220
514433230043221
61041000334320
7114121026231
oct22060752050
96237112613
102428752936
111036a71035
125794743a0
132c924511c
141907c6088
15e3355776
hex90c3d428

2428752936 has 64 divisors (see below), whose sum is σ = 6193843200. Its totient is φ = 793408448.

The previous prime is 2428752883. The next prime is 2428752947. The reversal of 2428752936 is 6392578242.

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, 488881 + ... + 493823.

It is an arithmetic number, because the mean of its divisors is an integer number (96778800).

Almost surely, 22428752936 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 2428752936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096921600).

2428752936 is an abundant number, since it is smaller than the sum of its proper divisors (3765090264).

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

2428752936 is a wasteful number, since it uses less digits than its factorization.

2428752936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5354 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 2428752936 is about 49282.3795691726. The cubic root of 2428752936 is about 1344.1914011352.

The spelling of 2428752936 in words is "two billion, four hundred twenty-eight million, seven hundred fifty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 347 354 472 694 708 1041 1388 1416 2082 2776 4164 4943 8328 9886 14829 19772 20473 29658 39544 40946 59316 61419 81892 118632 122838 163784 245676 291637 491352 583274 874911 1166548 1715221 1749822 2333096 3430442 3499644 5145663 6860884 6999288 10291326 13721768 20582652 41165304 101198039 202396078 303594117 404792156 607188234 809584312 1214376468 2428752936