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4929372 = 2232731631
BaseRepresentation
bin10010110011011101011100
3100021102211100
4102303131130
52230214442
6253353100
756620230
oct22633534
910242740
104929372
112867568
121798790
1310378b6
149245c0
1567584c
hex4b375c

4929372 has 72 divisors (see below), whose sum is σ = 14723072. Its totient is φ = 1360800.

The previous prime is 4929361. The next prime is 4929373. The reversal of 4929372 is 2739294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929373) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7497 + ... + 8127.

Almost surely, 24929372 is an apocalyptic number.

4929372 is a gapful number since it is divisible by the number (42) 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 4929372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7361536).

4929372 is an abundant number, since it is smaller than the sum of its proper divisors (9793700).

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

4929372 is a wasteful number, since it uses less digits than its factorization.

4929372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 674 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 4929372 is about 2220.2189081260. The cubic root of 4929372 is about 170.1886256940.

The spelling of 4929372 in words is "four million, nine hundred twenty-nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 631 651 868 1116 1262 1302 1893 1953 2524 2604 3786 3906 4417 5679 7572 7812 8834 11358 13251 17668 19561 22716 26502 39122 39753 53004 58683 78244 79506 117366 136927 159012 176049 234732 273854 352098 410781 547708 704196 821562 1232343 1643124 2464686 4929372