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4202740608 = 273113726891
BaseRepresentation
bin1111101010000000…
…1011101110000000
3101211220012100021120
43322200023232000
532101400144413
61533011152240
7206101464033
oct37240135600
911756170246
104202740608
111867379250
129935a5680
1351c928281
142bc24b01a
15198e71723
hexfa80bb80

4202740608 has 128 divisors (see below), whose sum is σ = 12508007040. Its totient is φ = 1239091200.

The previous prime is 4202740603. The next prime is 4202740627. The reversal of 4202740608 is 8060472024.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4202740601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142843 + ... + 169733.

It is an arithmetic number, because the mean of its divisors is an integer number (97718805).

Almost surely, 24202740608 is an apocalyptic number.

4202740608 is a gapful number since it is divisible by the number (48) 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 4202740608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254003520).

4202740608 is an abundant number, since it is smaller than the sum of its proper divisors (8305266432).

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

4202740608 is a wasteful number, since it uses less digits than its factorization.

4202740608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26956 (or 26944 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4202740608 is about 64828.5477856785. The cubic root of 4202740608 is about 1613.7795042808.

It can be divided in two parts, 4202 and 740608, that added together give a triangular number (744810 = T1220).

The spelling of 4202740608 in words is "four billion, two hundred two million, seven hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 26891 39072 52096 53782 78144 80673 107564 156288 161346 215128 295801 322692 430256 591602 645384 860512 887403 994967 1183204 1290768 1721024 1774806 1989934 2366408 2581536 2984901 3442048 3549612 3979868 4732816 5163072 5969802 7099224 7959736 9465632 10326144 10944637 11939604 14198448 15919472 18931264 21889274 23879208 28396896 31838944 32833911 37862528 43778548 47758416 56793792 63677888 65667822 87557096 95516832 113587584 127355776 131335644 175114192 191033664 262671288 350228384 382067328 525342576 700456768 1050685152 1400913536 2101370304 4202740608