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2420477904 = 243138774423
BaseRepresentation
bin1001000001000101…
…1000111111010000
320020200120000110210
42100101120333100
514424120243104
61040103124120
7113660502615
oct22021307720
96220500423
102420477904
111032329969
12576743640
132c7608760
1418d67050c
15e276d989
hex90458fd0

2420477904 has 80 divisors (see below), whose sum is σ = 6743096192. Its totient is φ = 743745024.

The previous prime is 2420477897. The next prime is 2420477921. The reversal of 2420477904 is 4097740242.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545037 + ... + 549459.

Almost surely, 22420477904 is an apocalyptic number.

2420477904 is a gapful number since it is divisible by the number (24) 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 2420477904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371548096).

2420477904 is an abundant number, since it is smaller than the sum of its proper divisors (4322618288).

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

2420477904 is a wasteful number, since it uses less digits than its factorization.

2420477904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2420477904 is about 49198.3526553481. The cubic root of 2420477904 is about 1342.6630607607.

The spelling of 2420477904 in words is "two billion, four hundred twenty million, four hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 877 1754 2631 3508 4423 5262 7016 8846 10524 11401 13269 14032 17692 21048 22802 26538 34203 35384 42096 45604 53076 57499 68406 70768 91208 106152 114998 136812 172497 182416 212304 229996 273624 344994 459992 547248 689988 919984 1379976 2759952 3878971 7757942 11636913 15515884 23273826 31031768 46547652 50426623 62063536 93095304 100853246 151279869 186190608 201706492 302559738 403412984 605119476 806825968 1210238952 2420477904