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4702981920 = 2535713671607
BaseRepresentation
bin1000110000101000…
…11100111100100000
3110010202111020100120
410120110130330200
534112430410140
62054401120240
7224354454360
oct43024347440
913122436316
104702981920
111aa378aa1a
12ab3029080
1359c466150
143288669a0
151c7d361d0
hex11851cf20

4702981920 has 384 divisors, whose sum is σ = 18516750336. Its totient is φ = 976859136.

The previous prime is 4702981909. The next prime is 4702981937. The reversal of 4702981920 is 291892074.

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

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 63 ways as a sum of consecutive naturals, for example, 2925757 + ... + 2927363.

It is an arithmetic number, because the mean of its divisors is an integer number (48220704).

Almost surely, 24702981920 is an apocalyptic number.

4702981920 is a gapful number since it is divisible by the number (40) 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 4702981920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9258375168).

4702981920 is an abundant number, since it is smaller than the sum of its proper divisors (13813768416).

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

4702981920 is a wasteful number, since it uses less digits than its factorization.

4702981920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4702981920 is about 68578.2904423842. The cubic root of 4702981920 is about 1675.4228584134.

The spelling of 4702981920 in words is "four billion, seven hundred two million, nine hundred eighty-one thousand, nine hundred twenty".