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4042492992 = 26329477411
BaseRepresentation
bin1111000011110011…
…1000110001000000
3101102201122220212200
43300330320301000
531234334233432
61505044353200
7202114423566
oct36074706100
911381586780
104042492992
1117949778aa
129499a5800
134c567bbb5
142a4c55a36
15189d6aa7c
hexf0f38c40

4042492992 has 84 divisors (see below), whose sum is σ = 11600876976. Its totient is φ = 1345893120.

The previous prime is 4042492981. The next prime is 4042493003. The reversal of 4042492992 is 2992942404.

It is an interprime number because it is at equal distance from previous prime (4042492981) and next prime (4042493003).

It is a super-2 number, since 2×40424929922 = 32683499180738224128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541767 + ... + 549177.

Almost surely, 24042492992 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 4042492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800438488).

4042492992 is an abundant number, since it is smaller than the sum of its proper divisors (7558383984).

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

4042492992 is a wasteful number, since it uses less digits than its factorization.

4042492992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8363 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4042492992 is about 63580.6023249230. The cubic root of 4042492992 is about 1593.0023821226.

The spelling of 4042492992 in words is "four billion, forty-two million, four hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 947 1894 2841 3788 5682 7411 7576 8523 11364 14822 15152 17046 22233 22728 29644 30304 34092 44466 45456 59288 60608 66699 68184 88932 90912 118576 133398 136368 177864 181824 237152 266796 272736 355728 474304 533592 545472 711456 1067184 1422912 2134368 4268736 7018217 14036434 21054651 28072868 42109302 56145736 63163953 84218604 112291472 126327906 168437208 224582944 252655812 336874416 449165888 505311624 673748832 1010623248 1347497664 2021246496 4042492992