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4087631616 = 28319072791
BaseRepresentation
bin1111001110100100…
…0100111100000000
3101112212121012102120
43303221010330000
531332413202431
61513340044240
7203203203225
oct36351047400
911485535376
104087631616
1118083a8152
12960b33680
13501b24643
142aac4594c
1518dcd5196
hexf3a44f00

4087631616 has 72 divisors (see below), whose sum is σ = 10888665984. Its totient is φ = 1361341440.

The previous prime is 4087631591. The next prime is 4087631621. The reversal of 4087631616 is 6161367804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1463181 + ... + 1465971.

It is an arithmetic number, because the mean of its divisors is an integer number (151231472).

Almost surely, 24087631616 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 4087631616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444332992).

4087631616 is an abundant number, since it is smaller than the sum of its proper divisors (6801034368).

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

4087631616 is a wasteful number, since it uses less digits than its factorization.

4087631616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4087631616 is about 63934.5885730095. The cubic root of 4087631616 is about 1598.9096237602.

The spelling of 4087631616 in words is "four billion, eighty-seven million, six hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1907 2791 3814 5582 5721 7628 8373 11164 11442 15256 16746 22328 22884 30512 33492 44656 45768 61024 66984 89312 91536 122048 133968 178624 183072 244096 267936 357248 366144 488192 535872 714496 732288 1071744 1464576 2143488 5322437 10644874 15967311 21289748 31934622 42579496 63869244 85158992 127738488 170317984 255476976 340635968 510953952 681271936 1021907904 1362543872 2043815808 4087631616